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Least Common Multiple (LCM) of 131 and 67

The least common multiple (LCM) of 131 and 67 is 8777.

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 131 and 67?

First, calculate the GCD of 131 and 67 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 131 ÷ 67 = 1 remainder 64
2 67 ÷ 64 = 1 remainder 3
3 64 ÷ 3 = 21 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
53 and 1377261
77 and 171309
180 and 1297740
135 and 9412690
31 and 10310

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