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Least Common Multiple (LCM) of 18 and 118

The least common multiple (LCM) of 18 and 118 is 1062.

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 118?

First, calculate the GCD of 18 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 18 ÷ 118 = 0 remainder 18
2 118 ÷ 18 = 6 remainder 10
3 18 ÷ 10 = 1 remainder 8
4 10 ÷ 8 = 1 remainder 2
5 8 ÷ 2 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
59 and 543186
141 and 17023970
34 and 821394
35 and 85595
195 and 8215990

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