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Least Common Multiple (LCM) of 125 and 14

The least common multiple (LCM) of 125 and 14 is 1750.

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 14?

First, calculate the GCD of 125 and 14 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 125 ÷ 14 = 8 remainder 13
2 14 ÷ 13 = 1 remainder 1
3 13 ÷ 1 = 13 remainder 0

Examples of LCM Calculations

NumbersLCM
54 and 13702
107 and 545778
54 and 1381242
191 and 478977
36 and 1816516

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