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Least Common Multiple (LCM) of 92 and 132

The least common multiple (LCM) of 92 and 132 is 3036.

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 92 and 132?

First, calculate the GCD of 92 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 92 ÷ 132 = 0 remainder 92
2 132 ÷ 92 = 1 remainder 40
3 92 ÷ 40 = 2 remainder 12
4 40 ÷ 12 = 3 remainder 4
5 12 ÷ 4 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
198 and 1801980
69 and 14510005
176 and 18131856
44 and 36396
18 and 147882

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