HowManyNumbers Logo

Least Common Multiple (LCM) of 132 and 180

The least common multiple (LCM) of 132 and 180 is 1980.

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 132 and 180?

First, calculate the GCD of 132 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 132 ÷ 180 = 0 remainder 132
2 180 ÷ 132 = 1 remainder 48
3 132 ÷ 48 = 2 remainder 36
4 48 ÷ 36 = 1 remainder 12
5 36 ÷ 12 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
61 and 1589638
85 and 595015
102 and 1306630
156 and 1477644
143 and 537579

Try Calculating LCM of Other Numbers







Related Calculators