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Least Common Multiple (LCM) of 18 and 83

The least common multiple (LCM) of 18 and 83 is 1494.

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 18 and 83?

First, calculate the GCD of 18 and 83 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 18 ÷ 83 = 0 remainder 18
2 83 ÷ 18 = 4 remainder 11
3 18 ÷ 11 = 1 remainder 7
4 11 ÷ 7 = 1 remainder 4
5 7 ÷ 4 = 1 remainder 3
6 4 ÷ 3 = 1 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
39 and 1726708
131 and 11515065
151 and 172567
96 and 341632
52 and 1477644

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