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Least Common Multiple (LCM) of 21 and 44

The least common multiple (LCM) of 21 and 44 is 924.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 21 and 44?

First, calculate the GCD of 21 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 21 ÷ 44 = 0 remainder 21
2 44 ÷ 21 = 2 remainder 2
3 21 ÷ 2 = 10 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
165 and 10617490
171 and 18731977
92 and 131196
165 and 1719405
64 and 1946208

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