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Least Common Multiple (LCM) of 131 and 198

The least common multiple (LCM) of 131 and 198 is 25938.

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 131 and 198?

First, calculate the GCD of 131 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 131 ÷ 198 = 0 remainder 131
2 198 ÷ 131 = 1 remainder 67
3 131 ÷ 67 = 1 remainder 64
4 67 ÷ 64 = 1 remainder 3
5 64 ÷ 3 = 21 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
160 and 987840
181 and 9917919
133 and 10013300
111 and 12213542
20 and 1833660

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