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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
12 and 70420
77 and 1299933
161 and 701610
68 and 392652
196 and 11811564

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