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Least Common Multiple (LCM) of 53 and 21

The least common multiple (LCM) of 53 and 21 is 1113.

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 21?

First, calculate the GCD of 53 and 21 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 53 ÷ 21 = 2 remainder 11
2 21 ÷ 11 = 1 remainder 10
3 11 ÷ 10 = 1 remainder 1
4 10 ÷ 1 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
93 and 403720
35 and 98490
169 and 19833462
60 and 1551860
45 and 381710

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