HowManyNumbers Logo

Least Common Multiple (LCM) of 150 and 189

The least common multiple (LCM) of 150 and 189 is 9450.

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 150 and 189?

First, calculate the GCD of 150 and 189 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 150 ÷ 189 = 0 remainder 150
2 189 ÷ 150 = 1 remainder 39
3 150 ÷ 39 = 3 remainder 33
4 39 ÷ 33 = 1 remainder 6
5 33 ÷ 6 = 5 remainder 3
6 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
133 and 658645
199 and 10621094
162 and 108324
135 and 1754725
66 and 24264

Try Calculating LCM of Other Numbers







Related Calculators