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Least Common Multiple (LCM) of 131 and 188

The least common multiple (LCM) of 131 and 188 is 24628.

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 131 and 188?

First, calculate the GCD of 131 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 131 ÷ 188 = 0 remainder 131
2 188 ÷ 131 = 1 remainder 57
3 131 ÷ 57 = 2 remainder 17
4 57 ÷ 17 = 3 remainder 6
5 17 ÷ 6 = 2 remainder 5
6 6 ÷ 5 = 1 remainder 1
7 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
148 and 18613764
199 and 10921691
24 and 46552
157 and 6710519
196 and 10119796

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