HowManyNumbers Logo

Least Common Multiple (LCM) of 129 and 149

The least common multiple (LCM) of 129 and 149 is 19221.

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 129 and 149?

First, calculate the GCD of 129 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 129 ÷ 149 = 0 remainder 129
2 149 ÷ 129 = 1 remainder 20
3 129 ÷ 20 = 6 remainder 9
4 20 ÷ 9 = 2 remainder 2
5 9 ÷ 2 = 4 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
109 and 9710573
125 and 1303250
81 and 17314013
21 and 1853885
84 and 761596

Try Calculating LCM of Other Numbers







Related Calculators