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Least Common Multiple (LCM) of 124 and 21

The least common multiple (LCM) of 124 and 21 is 2604.

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 21?

First, calculate the GCD of 124 and 21 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 124 ÷ 21 = 5 remainder 19
2 21 ÷ 19 = 1 remainder 2
3 19 ÷ 2 = 9 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
128 and 18211648
103 and 646592
191 and 10419864
101 and 494949
157 and 10216014

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