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Least Common Multiple (LCM) of 132 and 86

The least common multiple (LCM) of 132 and 86 is 5676.

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 86?

First, calculate the GCD of 132 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 132 ÷ 86 = 1 remainder 46
2 86 ÷ 46 = 1 remainder 40
3 46 ÷ 40 = 1 remainder 6
4 40 ÷ 6 = 6 remainder 4
5 6 ÷ 4 = 1 remainder 2
6 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
91 and 948554
43 and 1486364
44 and 921012
91 and 585278
129 and 293741

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