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Least Common Multiple (LCM) of 96 and 66

The least common multiple (LCM) of 96 and 66 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 96 and 66?

First, calculate the GCD of 96 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 96 ÷ 66 = 1 remainder 30
2 66 ÷ 30 = 2 remainder 6
3 30 ÷ 6 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
132 and 10113332
157 and 568792
111 and 18420424
76 and 1746612
51 and 10510

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