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Least Common Multiple (LCM) of 25 and 103

The least common multiple (LCM) of 25 and 103 is 2575.

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 103?

First, calculate the GCD of 25 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 25 ÷ 103 = 0 remainder 25
2 103 ÷ 25 = 4 remainder 3
3 25 ÷ 3 = 8 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
194 and 14327742
110 and 15717270
28 and 108756
32 and 1742784
143 and 14821164

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