HowManyNumbers Logo

Least Common Multiple (LCM) of 125 and 171

The least common multiple (LCM) of 125 and 171 is 21375.

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 171?

First, calculate the GCD of 125 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 125 ÷ 171 = 0 remainder 125
2 171 ÷ 125 = 1 remainder 46
3 125 ÷ 46 = 2 remainder 33
4 46 ÷ 33 = 1 remainder 13
5 33 ÷ 13 = 2 remainder 7
6 13 ÷ 7 = 1 remainder 6
7 7 ÷ 6 = 1 remainder 1
8 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
122 and 151830
83 and 14612118
120 and 1348040
104 and 14114664
137 and 162192

Try Calculating LCM of Other Numbers







Related Calculators