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Least Common Multiple (LCM) of 30 and 25

The least common multiple (LCM) of 30 and 25 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 30 and 25?

First, calculate the GCD of 30 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 30 ÷ 25 = 1 remainder 5
2 25 ÷ 5 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
17 and 941598
72 and 19914328
195 and 845460
165 and 1555115
197 and 19338021

Try Calculating LCM of Other Numbers







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