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Least Common Multiple (LCM) of 75 and 171

The least common multiple (LCM) of 75 and 171 is 4275.

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 171?

First, calculate the GCD of 75 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 75 ÷ 171 = 0 remainder 75
2 171 ÷ 75 = 2 remainder 21
3 75 ÷ 21 = 3 remainder 12
4 21 ÷ 12 = 1 remainder 9
5 12 ÷ 9 = 1 remainder 3
6 9 ÷ 3 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
183 and 935673
183 and 16510065
149 and 15923691
16 and 1893024
10 and 182910

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