To find the least common multiple of numbers there are two methods. #1 You list the multiples of each number. Identify the least number that is on both lists. #2 Find the common factors of the numbers.
In this case their are no common factors because 23 is prime.
Here's what you do:
1. Find the prime factorization of 21 and 23. 21=7*3 23=23
2. Take the factors and multiply them all together once because each one is only shown once.
7*3*23=?
3. 7 times 3 equals 21 times 23 is 483.
LCM=483
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The least common multiple of two numbers is the product of the two numbers divided by their greatest common factor. The greatest common factor of 5 and 23 is 1. (See related question "What is the greatest common factor of 5 and 23?" for this calculation.) So, the least common multiple is 5 x 23 ÷ 1 = 115.
391
The Least Common Multiple (LCM) for 3 23 is 69.
35 and 70, among others.
The least common multiple of the numbers 13, 23 and 48 is 14,352.