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Least Common Multiple (LCM) of 164 and 108

The least common multiple (LCM) of 164 and 108 is 4428.

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 108?

First, calculate the GCD of 164 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 164 ÷ 108 = 1 remainder 56
2 108 ÷ 56 = 1 remainder 52
3 56 ÷ 52 = 1 remainder 4
4 52 ÷ 4 = 13 remainder 0

Examples of LCM Calculations

NumbersLCM
20 and 1272540
113 and 15717741
101 and 14915049
106 and 859010
144 and 180720

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