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Least Common Multiple (LCM) of 97 and 129

The least common multiple (LCM) of 97 and 129 is 12513.

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 97 and 129?

First, calculate the GCD of 97 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 97 ÷ 129 = 0 remainder 97
2 129 ÷ 97 = 1 remainder 32
3 97 ÷ 32 = 3 remainder 1
4 32 ÷ 1 = 32 remainder 0

Examples of LCM Calculations

NumbersLCM
94 and 663102
22 and 1021122
122 and 253050
71 and 1228662
134 and 966432

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