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Least Common Multiple (LCM) of 132 and 79

The least common multiple (LCM) of 132 and 79 is 10428.

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 132 and 79?

First, calculate the GCD of 132 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 132 ÷ 79 = 1 remainder 53
2 79 ÷ 53 = 1 remainder 26
3 53 ÷ 26 = 2 remainder 1
4 26 ÷ 1 = 26 remainder 0

Examples of LCM Calculations

NumbersLCM
79 and 14811692
129 and 10713803
103 and 394017
197 and 13827186
184 and 1611288

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