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Least Common Multiple (LCM) of 124 and 55

The least common multiple (LCM) of 124 and 55 is 6820.

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 55?

First, calculate the GCD of 124 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 124 ÷ 55 = 2 remainder 14
2 55 ÷ 14 = 3 remainder 13
3 14 ÷ 13 = 1 remainder 1
4 13 ÷ 1 = 13 remainder 0

Examples of LCM Calculations

NumbersLCM
197 and 15330141
41 and 1556355
90 and 1901710
106 and 1387314
200 and 19338600

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