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Least Common Multiple (LCM) of 188 and 36

The least common multiple (LCM) of 188 and 36 is 1692.

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 188 and 36?

First, calculate the GCD of 188 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 188 ÷ 36 = 5 remainder 8
2 36 ÷ 8 = 4 remainder 4
3 8 ÷ 4 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
132 and 1054620
171 and 17830438
136 and 1762992
134 and 1067102
87 and 1534437

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