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Least Common Multiple (LCM) of 132 and 96

The least common multiple (LCM) of 132 and 96 is 1056.

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 132 and 96?

First, calculate the GCD of 132 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 132 ÷ 96 = 1 remainder 36
2 96 ÷ 36 = 2 remainder 24
3 36 ÷ 24 = 1 remainder 12
4 24 ÷ 12 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
165 and 874785
103 and 444532
95 and 11310735
57 and 1442736
25 and 1794475

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