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Least Common Multiple (LCM) of 164 and 10

The least common multiple (LCM) of 164 and 10 is 820.

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 10?

First, calculate the GCD of 164 and 10 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 164 ÷ 10 = 16 remainder 4
2 10 ÷ 4 = 2 remainder 2
3 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
137 and 496713
71 and 201420
98 and 1246076
147 and 1869114
126 and 1503150

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