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Least Common Multiple (LCM) of 75 and 25

The least common multiple (LCM) of 75 and 25 is 75.

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 25?

First, calculate the GCD of 75 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 75 ÷ 25 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
43 and 1285504
174 and 452610
160 and 16726720
198 and 36396
102 and 17918258

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