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Least Common Multiple (LCM) of 141 and 132

The least common multiple (LCM) of 141 and 132 is 6204.

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 141 and 132?

First, calculate the GCD of 141 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 141 ÷ 132 = 1 remainder 9
2 132 ÷ 9 = 14 remainder 6
3 9 ÷ 6 = 1 remainder 3
4 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
29 and 25725
194 and 9919206
187 and 366732
183 and 6511895
153 and 1959945

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