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Least Common Multiple (LCM) of 187 and 124

The least common multiple (LCM) of 187 and 124 is 23188.

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 187 and 124?

First, calculate the GCD of 187 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 187 ÷ 124 = 1 remainder 63
2 124 ÷ 63 = 1 remainder 61
3 63 ÷ 61 = 1 remainder 2
4 61 ÷ 2 = 30 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
182 and 11410374
50 and 934650
190 and 50950
187 and 122244
136 and 1485032

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