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Least Common Multiple (LCM) of 130 and 187

The least common multiple (LCM) of 130 and 187 is 24310.

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 130 and 187?

First, calculate the GCD of 130 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 130 ÷ 187 = 0 remainder 130
2 187 ÷ 130 = 1 remainder 57
3 130 ÷ 57 = 2 remainder 16
4 57 ÷ 16 = 3 remainder 9
5 16 ÷ 9 = 1 remainder 7
6 9 ÷ 7 = 1 remainder 2
7 7 ÷ 2 = 3 remainder 1
8 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
86 and 241032
194 and 18335502
173 and 17530275
109 and 15516895
111 and 1716327

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