HowManyNumbers Logo

Least Common Multiple (LCM) of 36 and 180

The least common multiple (LCM) of 36 and 180 is 180.

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 36 and 180?

First, calculate the GCD of 36 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 36 ÷ 180 = 0 remainder 36
2 180 ÷ 36 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
145 and 233335
56 and 1584424
182 and 19818018
125 and 141750
109 and 18019620

Try Calculating LCM of Other Numbers







Related Calculators