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Least Common Multiple (LCM) of 22 and 56

The least common multiple (LCM) of 22 and 56 is 616.

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 22 and 56?

First, calculate the GCD of 22 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 22 ÷ 56 = 0 remainder 22
2 56 ÷ 22 = 2 remainder 12
3 22 ÷ 12 = 1 remainder 10
4 12 ÷ 10 = 1 remainder 2
5 10 ÷ 2 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
79 and 725688
181 and 14726607
166 and 746142
67 and 1258375
13 and 1942522

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