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Least Common Multiple (LCM) of 94 and 89

The least common multiple (LCM) of 94 and 89 is 8366.

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 94 and 89?

First, calculate the GCD of 94 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 94 ÷ 89 = 1 remainder 5
2 89 ÷ 5 = 17 remainder 4
3 5 ÷ 4 = 1 remainder 1
4 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
189 and 224158
132 and 1431716
36 and 1111332
25 and 892225
160 and 15925440

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