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Least Common Multiple (LCM) of 124 and 43

The least common multiple (LCM) of 124 and 43 is 5332.

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 43?

First, calculate the GCD of 124 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 124 ÷ 43 = 2 remainder 38
2 43 ÷ 38 = 1 remainder 5
3 38 ÷ 5 = 7 remainder 3
4 5 ÷ 3 = 1 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
93 and 131209
129 and 19124639
85 and 1402380
153 and 934743
148 and 314588

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