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Least Common Multiple (LCM) of 75 and 30

The least common multiple (LCM) of 75 and 30 is 150.

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 30?

First, calculate the GCD of 75 and 30 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 75 ÷ 30 = 2 remainder 15
2 30 ÷ 15 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
165 and 30330
79 and 1239717
89 and 12811392
156 and 7111076
79 and 413239

Try Calculating LCM of Other Numbers







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