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Least Common Multiple (LCM) of 198 and 60

The least common multiple (LCM) of 198 and 60 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 60?

First, calculate the GCD of 198 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 198 ÷ 60 = 3 remainder 18
2 60 ÷ 18 = 3 remainder 6
3 18 ÷ 6 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
48 and 144144
60 and 1533060
126 and 1801260
165 and 1432145
47 and 17799

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