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Least Common Multiple (LCM) of 99 and 25

The least common multiple (LCM) of 99 and 25 is 2475.

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 99 and 25?

First, calculate the GCD of 99 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 99 ÷ 25 = 3 remainder 24
2 25 ÷ 24 = 1 remainder 1
3 24 ÷ 1 = 24 remainder 0

Examples of LCM Calculations

NumbersLCM
26 and 23598
97 and 17817266
180 and 1116660
185 and 1706290
33 and 81891

Try Calculating LCM of Other Numbers







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