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Least Common Multiple (LCM) of 113 and 130

The least common multiple (LCM) of 113 and 130 is 14690.

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 113 and 130?

First, calculate the GCD of 113 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 113 ÷ 130 = 0 remainder 113
2 130 ÷ 113 = 1 remainder 17
3 113 ÷ 17 = 6 remainder 11
4 17 ÷ 11 = 1 remainder 6
5 11 ÷ 6 = 1 remainder 5
6 6 ÷ 5 = 1 remainder 1
7 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
175 and 982450
53 and 241272
63 and 18411592
163 and 142282
96 and 872784

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