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Least Common Multiple (LCM) of 84 and 86

The least common multiple (LCM) of 84 and 86 is 3612.

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 84 and 86?

First, calculate the GCD of 84 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 84 ÷ 86 = 0 remainder 84
2 86 ÷ 84 = 1 remainder 2
3 84 ÷ 2 = 42 remainder 0

Examples of LCM Calculations

NumbersLCM
129 and 12716383
148 and 16925012
141 and 1265922
38 and 1041976
141 and 632961

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