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Least Common Multiple (LCM) of 44 and 132

The least common multiple (LCM) of 44 and 132 is 132.

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 44 and 132?

First, calculate the GCD of 44 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 44 ÷ 132 = 0 remainder 44
2 132 ÷ 44 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
189 and 772079
135 and 7610260
164 and 11518860
170 and 847140
24 and 27216

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