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Least Common Multiple (LCM) of 157 and 198

The least common multiple (LCM) of 157 and 198 is 31086.

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 157 and 198?

First, calculate the GCD of 157 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 157 ÷ 198 = 0 remainder 157
2 198 ÷ 157 = 1 remainder 41
3 157 ÷ 41 = 3 remainder 34
4 41 ÷ 34 = 1 remainder 7
5 34 ÷ 7 = 4 remainder 6
6 7 ÷ 6 = 1 remainder 1
7 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
159 and 10917331
131 and 11515065
182 and 12411284
187 and 33561
185 and 19636260

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