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Least Common Multiple (LCM) of 115 and 188

The least common multiple (LCM) of 115 and 188 is 21620.

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 115 and 188?

First, calculate the GCD of 115 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 115 ÷ 188 = 0 remainder 115
2 188 ÷ 115 = 1 remainder 73
3 115 ÷ 73 = 1 remainder 42
4 73 ÷ 42 = 1 remainder 31
5 42 ÷ 31 = 1 remainder 11
6 31 ÷ 11 = 2 remainder 9
7 11 ÷ 9 = 1 remainder 2
8 9 ÷ 2 = 4 remainder 1
9 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
89 and 13411926
157 and 19230144
179 and 15728103
175 and 12922575
42 and 641344

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