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Least Common Multiple (LCM) of 64 and 12

The least common multiple (LCM) of 64 and 12 is 192.

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 12?

First, calculate the GCD of 64 and 12 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 64 ÷ 12 = 5 remainder 4
2 12 ÷ 4 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
91 and 615551
138 and 805520
132 and 512244
194 and 14327742
198 and 90990

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