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Least Common Multiple (LCM) of 89 and 198

The least common multiple (LCM) of 89 and 198 is 17622.

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 89 and 198?

First, calculate the GCD of 89 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 89 ÷ 198 = 0 remainder 89
2 198 ÷ 89 = 2 remainder 20
3 89 ÷ 20 = 4 remainder 9
4 20 ÷ 9 = 2 remainder 2
5 9 ÷ 2 = 4 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
131 and 18023580
17 and 1813077
200 and 1054200
86 and 1245332
88 and 261144

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