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Least Common Multiple (LCM) of 198 and 18

The least common multiple (LCM) of 198 and 18 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 198 and 18?

First, calculate the GCD of 198 and 18 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 198 ÷ 18 = 11 remainder 0

Examples of LCM Calculations

NumbersLCM
115 and 18321045
133 and 11315029
106 and 402120
115 and 313565
53 and 19710441

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