HowManyNumbers Logo

Least Common Multiple (LCM) of 59 and 180

The least common multiple (LCM) of 59 and 180 is 10620.

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 59 and 180?

First, calculate the GCD of 59 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 59 ÷ 180 = 0 remainder 59
2 180 ÷ 59 = 3 remainder 3
3 59 ÷ 3 = 19 remainder 2
4 3 ÷ 2 = 1 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
150 and 512550
148 and 1726364
42 and 96672
57 and 824674
83 and 166166

Try Calculating LCM of Other Numbers







Related Calculators