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Least Common Multiple (LCM) of 109 and 164

The least common multiple (LCM) of 109 and 164 is 17876.

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 109 and 164?

First, calculate the GCD of 109 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 109 ÷ 164 = 0 remainder 109
2 164 ÷ 109 = 1 remainder 55
3 109 ÷ 55 = 1 remainder 54
4 55 ÷ 54 = 1 remainder 1
5 54 ÷ 1 = 54 remainder 0

Examples of LCM Calculations

NumbersLCM
106 and 1487844
182 and 18616926
168 and 1624536
20 and 96480
59 and 895251

Try Calculating LCM of Other Numbers







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