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Least Common Multiple (LCM) of 64 and 131

The least common multiple (LCM) of 64 and 131 is 8384.

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 64 and 131?

First, calculate the GCD of 64 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
16 and 1772832
200 and 15931800
155 and 6710385
149 and 497301
60 and 1741740

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