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Least Common Multiple (LCM) of 198 and 53

The least common multiple (LCM) of 198 and 53 is 10494.

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 53?

First, calculate the GCD of 198 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 198 ÷ 53 = 3 remainder 39
2 53 ÷ 39 = 1 remainder 14
3 39 ÷ 14 = 2 remainder 11
4 14 ÷ 11 = 1 remainder 3
5 11 ÷ 3 = 3 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
110 and 17319030
180 and 551980
131 and 12316113
90 and 1486660
200 and 14214200

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