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Least Common Multiple (LCM) of 32 and 12

The least common multiple (LCM) of 32 and 12 is 96.

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 12?

First, calculate the GCD of 32 and 12 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
193 and 17333389
145 and 12918705
178 and 524628
45 and 27135
200 and 1042600

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