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Least Common Multiple (LCM) of 129 and 158

The least common multiple (LCM) of 129 and 158 is 20382.

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 158?

First, calculate the GCD of 129 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 129 ÷ 158 = 0 remainder 129
2 158 ÷ 129 = 1 remainder 29
3 129 ÷ 29 = 4 remainder 13
4 29 ÷ 13 = 2 remainder 3
5 13 ÷ 3 = 4 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
134 and 10113534
44 and 1824004
170 and 11319210
48 and 1953120
190 and 14814060

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