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Least Common Multiple (LCM) of 23 and 82

The least common multiple (LCM) of 23 and 82 is 1886.

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 23 and 82?

First, calculate the GCD of 23 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 23 ÷ 82 = 0 remainder 23
2 82 ÷ 23 = 3 remainder 13
3 23 ÷ 13 = 1 remainder 10
4 13 ÷ 10 = 1 remainder 3
5 10 ÷ 3 = 3 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
94 and 12711938
52 and 143572
79 and 1028058
27 and 14378
151 and 12919479

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