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Least Common Multiple (LCM) of 11 and 198

The least common multiple (LCM) of 11 and 198 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 11 and 198?

First, calculate the GCD of 11 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 11 ÷ 198 = 0 remainder 11
2 198 ÷ 11 = 18 remainder 0

Examples of LCM Calculations

NumbersLCM
181 and 16129141
20 and 591180
34 and 42714
156 and 48624
12 and 4848

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