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Least Common Multiple (LCM) of 32 and 76

The least common multiple (LCM) of 32 and 76 is 608.

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 32 and 76?

First, calculate the GCD of 32 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 32 ÷ 76 = 0 remainder 32
2 76 ÷ 32 = 2 remainder 12
3 32 ÷ 12 = 2 remainder 8
4 12 ÷ 8 = 1 remainder 4
5 8 ÷ 4 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
38 and 1696422
106 and 12713462
47 and 1979259
176 and 1441584
26 and 56728

Try Calculating LCM of Other Numbers







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