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Least Common Multiple (LCM) of 129 and 68

The least common multiple (LCM) of 129 and 68 is 8772.

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 68?

First, calculate the GCD of 129 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 129 ÷ 68 = 1 remainder 61
2 68 ÷ 61 = 1 remainder 7
3 61 ÷ 7 = 8 remainder 5
4 7 ÷ 5 = 1 remainder 2
5 5 ÷ 2 = 2 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
127 and 10513335
68 and 1602720
15 and 1672505
189 and 901890
194 and 417954

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