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Least Common Multiple (LCM) of 89 and 131

The least common multiple (LCM) of 89 and 131 is 11659.

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 131?

First, calculate the GCD of 89 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 89 ÷ 131 = 0 remainder 89
2 131 ÷ 89 = 1 remainder 42
3 89 ÷ 42 = 2 remainder 5
4 42 ÷ 5 = 8 remainder 2
5 5 ÷ 2 = 2 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
113 and 19421922
195 and 18912285
133 and 222926
94 and 373478
160 and 19130560

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