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Least Common Multiple (LCM) of 129 and 71

The least common multiple (LCM) of 129 and 71 is 9159.

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 129 and 71?

First, calculate the GCD of 129 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 129 ÷ 71 = 1 remainder 58
2 71 ÷ 58 = 1 remainder 13
3 58 ÷ 13 = 4 remainder 6
4 13 ÷ 6 = 2 remainder 1
5 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
12 and 159636
190 and 15329070
80 and 675360
50 and 15150
172 and 539116

Try Calculating LCM of Other Numbers







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