How can you tell when the LCM of two numbers will equal one of the numbers or equal the product of the numbers?

1 Expert Answer The LCM of two numbers will equal one of the numbers if the other number is 1. For example, 43 and 1 have the LCM of 43. Any number times 1 is that number. One of the ways to tell if the LCM is the product of the two numbers is if the two numbers are consecutive, for example 6 and 7.

What is the LCM of two numbers that have no common prime factors?

Explanation: When there is no common factor for the given numbers, LCM is the product of the given numbers. eg. LCM of 2, 3, 4 = 12 as 2 is a factor of 4 but 4 & 3 are relative prime and hence the answer.

What does the LCM of two numbers represent?

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.

Is the LCM of two numbers always greater than the GCD of numbers?

Answer Expert Verified LCM stands for Least Common Multiple while GCF stands for Greatest Common Factor. Given any two numbers, LCM of the numbers is greater than the GCF of the numbers. Because LCM multiplies all the multiples of both numbers while GCF multiples only the factors found in both numbers.

Which is the correct way to calculate the LCM?

After calculating the LCM, always check to be sure your answer can be divided evenly by both numbers. In this method, the two numbers are simultaneously divided with prime numbers until the division is even. When there are no more primes that evenly divide into both numbers, multiply the divisors to get the LCM.

What is the LCM of 6 and 8?

The numbers are 6 & 8, whose LCM is 24 and sum is 14. The numbers are 6 and 8. LCM of 6 & 4 is 24 and their sum is 14. The sum of two numbers is 14 and their LCM is 24. Wat are the numbers? They are 6 and 8. The sum of two numbers is 144 and their LCM is 420. What are the numbers? The LCM of two numbers is 24. Their sum is 14. What are the numbers?

Is the LCM of two consecutive numbers the same?

So the LCM of any pair of consecutive integers is just the same as their product. Let us first assume that by the word number you mean positive integer strictly greater than 1. By this definition 2 is the smallest applicable number.

Which is the LCM of 18 and 24?

For numbers 18 and 24 = 2 × 2 × 2 × 3 × 3 = 72 is the LCM. Example 2: Find the Least Common Multiples of these sets of numbers: 3, 9, 21. Step 1: List the prime factors of each.

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