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Least Common Multiple (LCM) of 198 and 20

The least common multiple (LCM) of 198 and 20 is 1980.

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 20?

First, calculate the GCD of 198 and 20 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 198 ÷ 20 = 9 remainder 18
2 20 ÷ 18 = 1 remainder 2
3 18 ÷ 2 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
100 and 717100
70 and 751050
173 and 8214186
194 and 9919206
65 and 19712805

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