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Least Common Multiple (LCM) of 25 and 90

The least common multiple (LCM) of 25 and 90 is 450.

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 90?

First, calculate the GCD of 25 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 25 ÷ 90 = 0 remainder 25
2 90 ÷ 25 = 3 remainder 15
3 25 ÷ 15 = 1 remainder 10
4 15 ÷ 10 = 1 remainder 5
5 10 ÷ 5 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
152 and 10760
170 and 7713090
96 and 1896048
61 and 1217381
90 and 35630

Try Calculating LCM of Other Numbers







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