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Least Common Multiple (LCM) of 107 and 130

The least common multiple (LCM) of 107 and 130 is 13910.

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 107 and 130?

First, calculate the GCD of 107 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 107 ÷ 130 = 0 remainder 107
2 130 ÷ 107 = 1 remainder 23
3 107 ÷ 23 = 4 remainder 15
4 23 ÷ 15 = 1 remainder 8
5 15 ÷ 8 = 1 remainder 7
6 8 ÷ 7 = 1 remainder 1
7 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
26 and 19494
51 and 773927
186 and 17110602
164 and 15525420
128 and 16610624

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