HowManyNumbers Logo

Least Common Multiple (LCM) of 125 and 80

The least common multiple (LCM) of 125 and 80 is 2000.

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 80?

First, calculate the GCD of 125 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 125 ÷ 80 = 1 remainder 45
2 80 ÷ 45 = 1 remainder 35
3 45 ÷ 35 = 1 remainder 10
4 35 ÷ 10 = 3 remainder 5
5 10 ÷ 5 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
55 and 77385
129 and 903870
132 and 10914388
26 and 1052730
183 and 18233306

Try Calculating LCM of Other Numbers







Related Calculators