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Least Common Multiple (LCM) of 124 and 61

The least common multiple (LCM) of 124 and 61 is 7564.

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 124 and 61?

First, calculate the GCD of 124 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 124 ÷ 61 = 2 remainder 2
2 61 ÷ 2 = 30 remainder 1
3 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
49 and 693381
120 and 180360
190 and 14727930
163 and 18630318
35 and 56280

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