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Least Common Multiple (LCM) of 56 and 21

The least common multiple (LCM) of 56 and 21 is 168.

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 56 and 21?

First, calculate the GCD of 56 and 21 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 56 ÷ 21 = 2 remainder 14
2 21 ÷ 14 = 1 remainder 7
3 14 ÷ 7 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
185 and 13925715
19 and 1312489
79 and 14611534
198 and 13413266
101 and 16716867

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