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Least Common Multiple (LCM) of 132 and 71

The least common multiple (LCM) of 132 and 71 is 9372.

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 71?

First, calculate the GCD of 132 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 132 ÷ 71 = 1 remainder 61
2 71 ÷ 61 = 1 remainder 10
3 61 ÷ 10 = 6 remainder 1
4 10 ÷ 1 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
121 and 15318513
191 and 20038200
23 and 521196
73 and 997227
116 and 1123248

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