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Least Common Multiple (LCM) of 78 and 124

The least common multiple (LCM) of 78 and 124 is 4836.

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 78 and 124?

First, calculate the GCD of 78 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 78 ÷ 124 = 0 remainder 78
2 124 ÷ 78 = 1 remainder 46
3 78 ÷ 46 = 1 remainder 32
4 46 ÷ 32 = 1 remainder 14
5 32 ÷ 14 = 2 remainder 4
6 14 ÷ 4 = 3 remainder 2
7 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
105 and 444620
71 and 1319301
104 and 881144
145 and 18226390
133 and 19525935

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