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Least Common Multiple (LCM) of 23 and 25

The least common multiple (LCM) of 23 and 25 is 575.

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 23 and 25?

First, calculate the GCD of 23 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 23 ÷ 25 = 0 remainder 23
2 25 ÷ 23 = 1 remainder 2
3 23 ÷ 2 = 11 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
83 and 17414442
39 and 1756825
102 and 656630
65 and 483120
23 and 2323

Try Calculating LCM of Other Numbers







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