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Least Common Multiple (LCM) of 25 and 45

The least common multiple (LCM) of 25 and 45 is 225.

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 25 and 45?

First, calculate the GCD of 25 and 45 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 25 ÷ 45 = 0 remainder 25
2 45 ÷ 25 = 1 remainder 20
3 25 ÷ 20 = 1 remainder 5
4 20 ÷ 5 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
135 and 35945
185 and 1405180
125 and 799875
111 and 1716327
163 and 569128

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