HowManyNumbers Logo

Least Common Multiple (LCM) of 78 and 125

The least common multiple (LCM) of 78 and 125 is 9750.

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 78 and 125?

First, calculate the GCD of 78 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 78 ÷ 125 = 0 remainder 78
2 125 ÷ 78 = 1 remainder 47
3 78 ÷ 47 = 1 remainder 31
4 47 ÷ 31 = 1 remainder 16
5 31 ÷ 16 = 1 remainder 15
6 16 ÷ 15 = 1 remainder 1
7 15 ÷ 1 = 15 remainder 0

Examples of LCM Calculations

NumbersLCM
71 and 16111431
59 and 965664
109 and 828938
103 and 151545
37 and 1204440

Try Calculating LCM of Other Numbers







Related Calculators