HowManyNumbers Logo

Least Common Multiple (LCM) of 153 and 189

The least common multiple (LCM) of 153 and 189 is 3213.

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 153 and 189?

First, calculate the GCD of 153 and 189 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 153 ÷ 189 = 0 remainder 153
2 189 ÷ 153 = 1 remainder 36
3 153 ÷ 36 = 4 remainder 9
4 36 ÷ 9 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
171 and 447524
90 and 841260
27 and 162162
107 and 414387
117 and 465382

Try Calculating LCM of Other Numbers







Related Calculators