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Least Common Multiple (LCM) of 164 and 56

The least common multiple (LCM) of 164 and 56 is 2296.

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 164 and 56?

First, calculate the GCD of 164 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 164 ÷ 56 = 2 remainder 52
2 56 ÷ 52 = 1 remainder 4
3 52 ÷ 4 = 13 remainder 0

Examples of LCM Calculations

NumbersLCM
194 and 585626
160 and 1967840
83 and 15312699
123 and 15819434
81 and 917371

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