Admin Table of Contents
- 1 Can you always determine the least common multiple of two numbers?
- 2 Is there always a least common multiple?
- 3 What is the least common multiple of two or more natural numbers?
- 4 Do all numbers have a common multiple?
- 5 How do you find the least common multiple of two numbers?
- 6 What is the difference between HCF and least common multiple?
- 7 How do you find the least common multiple of 6 and 15?
Can you always determine the least common multiple of two numbers?
One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.
Is there always a least common multiple?
Two whole numbers always have at least one common multiple. For example, if you multiply them by each other, you will find a multiple of each of the…
How many common multiples exist for any 2 natural numbers?
Answer: Therefore, any two numbers or set of numbers can have the infinite number of common multiples.
What is the least common multiple of two or more natural numbers?
In arithmetic and number theory, the least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by lcm(a, b), is the smallest positive integer that is divisible by both a and b.
Do all numbers have a common multiple?
Therefore, any two numbers or set of numbers can have the infinite number of common multiples. The smallest common multiple of two or more numbers is called their Least Common Multiple (LCM).
What are 2 numbers that don’t have a common factor?
Relative Primes Sometimes, two numbers do not have any prime factors in common. For example, the prime factorization of 40 is 2×2×2×5 and the prime factorization of 21 is 3×7. Since 40 and 21 have no common prime factors, they are said to be relatively prime, and their greatest common factor is 1.
How do you find the least common multiple of two numbers?
LCM by Listing Method (Listing Out the Common Multiples) By using the listing out the common multiples method we can find out the common multiples of two or more numbers. Out of these common multiples, the least common multiple is considered and the LCM of two given numbers can thus be calculated.
What is the difference between HCF and least common multiple?
HCF of two or more numbers is the highest common factor of the given numbers. It is calculated by multiplying the common prime factors of the given numbers. Whereas the least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers.
How to calculate the LCM of the two numbers?
To calculate the LCM of the two numbers A and B by using listing out the common multiples follow the steps given below: Step 2 – Mark the common multiples from the multiples of both numbers. Step 3 – Select the smallest common multiple, that smallest common multiple is the LCM of the two numbers.
How do you find the least common multiple of 6 and 15?
Example: Find the least common multiple (LCM) of 6 and 15 using the common division method. Step 1 – 2 is the smallest prime number and it is a factor of 6. Write this prime number on the left of the two numbers. For each number in the right column, continue finding out prime numbers which are their factors.