HowManyNumbers Logo

Least Common Multiple (LCM) of 139 and 189

The least common multiple (LCM) of 139 and 189 is 26271.

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 139 and 189?

First, calculate the GCD of 139 and 189 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 139 ÷ 189 = 0 remainder 139
2 189 ÷ 139 = 1 remainder 50
3 139 ÷ 50 = 2 remainder 39
4 50 ÷ 39 = 1 remainder 11
5 39 ÷ 11 = 3 remainder 6
6 11 ÷ 6 = 1 remainder 5
7 6 ÷ 5 = 1 remainder 1
8 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
170 and 9916830
156 and 18729172
19 and 961824
123 and 566888
159 and 14923691

Try Calculating LCM of Other Numbers







Related Calculators