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Least Common Multiple (LCM) of 56 and 20

The least common multiple (LCM) of 56 and 20 is 280.

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 20?

First, calculate the GCD of 56 and 20 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 56 ÷ 20 = 2 remainder 16
2 20 ÷ 16 = 1 remainder 4
3 16 ÷ 4 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
111 and 19421534
15 and 36180
116 and 261508
91 and 11510465
111 and 15116761

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