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Least Common Multiple (LCM) of 18 and 66

The least common multiple (LCM) of 18 and 66 is 198.

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 66?

First, calculate the GCD of 18 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 18 ÷ 66 = 0 remainder 18
2 66 ÷ 18 = 3 remainder 12
3 18 ÷ 12 = 1 remainder 6
4 12 ÷ 6 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
15 and 160480
196 and 908820
19 and 921748
181 and 17331313
198 and 10921582

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