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Least Common Multiple (LCM) of 53 and 123

The least common multiple (LCM) of 53 and 123 is 6519.

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 53 and 123?

First, calculate the GCD of 53 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 53 ÷ 123 = 0 remainder 53
2 123 ÷ 53 = 2 remainder 17
3 53 ÷ 17 = 3 remainder 2
4 17 ÷ 2 = 8 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
84 and 16336
81 and 1108910
24 and 1181416
137 and 9813426
48 and 1652640

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