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Least Common Multiple (LCM) of 51 and 124

The least common multiple (LCM) of 51 and 124 is 6324.

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 51 and 124?

First, calculate the GCD of 51 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 51 ÷ 124 = 0 remainder 51
2 124 ÷ 51 = 2 remainder 22
3 51 ÷ 22 = 2 remainder 7
4 22 ÷ 7 = 3 remainder 1
5 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
103 and 727416
53 and 492597
30 and 11330
71 and 493479
45 and 1727740

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