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Least Common Multiple (LCM) of 89 and 86

The least common multiple (LCM) of 89 and 86 is 7654.

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 89 and 86?

First, calculate the GCD of 89 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 89 ÷ 86 = 1 remainder 3
2 86 ÷ 3 = 28 remainder 2
3 3 ÷ 2 = 1 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
82 and 1024182
47 and 432021
161 and 111771
52 and 371924
180 and 991980

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