HowManyNumbers Logo

Least Common Multiple (LCM) of 149 and 138

The least common multiple (LCM) of 149 and 138 is 20562.

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 149 and 138?

First, calculate the GCD of 149 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 149 ÷ 138 = 1 remainder 11
2 138 ÷ 11 = 12 remainder 6
3 11 ÷ 6 = 1 remainder 5
4 6 ÷ 5 = 1 remainder 1
5 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
200 and 1246200
71 and 18212922
161 and 1841288
72 and 231656
51 and 1407140

Try Calculating LCM of Other Numbers







Related Calculators