HowManyNumbers Logo

Least Common Multiple (LCM) of 119 and 180

The least common multiple (LCM) of 119 and 180 is 21420.

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 119 and 180?

First, calculate the GCD of 119 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 119 ÷ 180 = 0 remainder 119
2 180 ÷ 119 = 1 remainder 61
3 119 ÷ 61 = 1 remainder 58
4 61 ÷ 58 = 1 remainder 3
5 58 ÷ 3 = 19 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
170 and 213570
37 and 1344958
128 and 9111648
132 and 521716
190 and 17733630

Try Calculating LCM of Other Numbers







Related Calculators