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Least Common Multiple (LCM) of 135 and 188

The least common multiple (LCM) of 135 and 188 is 25380.

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 135 and 188?

First, calculate the GCD of 135 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 135 ÷ 188 = 0 remainder 135
2 188 ÷ 135 = 1 remainder 53
3 135 ÷ 53 = 2 remainder 29
4 53 ÷ 29 = 1 remainder 24
5 29 ÷ 24 = 1 remainder 5
6 24 ÷ 5 = 4 remainder 4
7 5 ÷ 4 = 1 remainder 1
8 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
127 and 15219304
98 and 12912642
31 and 1233813
68 and 16511220
40 and 2040

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