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Least Common Multiple (LCM) of 89 and 185

The least common multiple (LCM) of 89 and 185 is 16465.

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 185?

First, calculate the GCD of 89 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 89 ÷ 185 = 0 remainder 89
2 185 ÷ 89 = 2 remainder 7
3 89 ÷ 7 = 12 remainder 5
4 7 ÷ 5 = 1 remainder 2
5 5 ÷ 2 = 2 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
108 and 293132
34 and 1936562
118 and 965664
161 and 1262898
88 and 716248

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