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Least Common Multiple (LCM) of 82 and 53

The least common multiple (LCM) of 82 and 53 is 4346.

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 82 and 53?

First, calculate the GCD of 82 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 82 ÷ 53 = 1 remainder 29
2 53 ÷ 29 = 1 remainder 24
3 29 ÷ 24 = 1 remainder 5
4 24 ÷ 5 = 4 remainder 4
5 5 ÷ 4 = 1 remainder 1
6 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
35 and 1736055
14 and 61854
169 and 366084
166 and 10918094
38 and 511938

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