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Least Common Multiple (LCM) of 125 and 103

The least common multiple (LCM) of 125 and 103 is 12875.

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 125 and 103?

First, calculate the GCD of 125 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 125 ÷ 103 = 1 remainder 22
2 103 ÷ 22 = 4 remainder 15
3 22 ÷ 15 = 1 remainder 7
4 15 ÷ 7 = 2 remainder 1
5 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
13 and 56728
68 and 56952
108 and 414428
193 and 17834354
48 and 974656

Try Calculating LCM of Other Numbers







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