HowManyNumbers Logo

Least Common Multiple (LCM) of 125 and 51

The least common multiple (LCM) of 125 and 51 is 6375.

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 51?

First, calculate the GCD of 125 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 125 ÷ 51 = 2 remainder 23
2 51 ÷ 23 = 2 remainder 5
3 23 ÷ 5 = 4 remainder 3
4 5 ÷ 3 = 1 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
86 and 1265418
11 and 1061166
156 and 13721372
177 and 10919293
166 and 524316

Try Calculating LCM of Other Numbers







Related Calculators