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Least Common Multiple (LCM) of 75 and 89

The least common multiple (LCM) of 75 and 89 is 6675.

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 75 and 89?

First, calculate the GCD of 75 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 75 ÷ 89 = 0 remainder 75
2 89 ÷ 75 = 1 remainder 14
3 75 ÷ 14 = 5 remainder 5
4 14 ÷ 5 = 2 remainder 4
5 5 ÷ 4 = 1 remainder 1
6 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
157 and 17126847
96 and 232208
17 and 981666
170 and 13411390
121 and 15018150

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