HowManyNumbers Logo

Least Common Multiple (LCM) of 116 and 20

The least common multiple (LCM) of 116 and 20 is 580.

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 116 and 20?

First, calculate the GCD of 116 and 20 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 116 ÷ 20 = 5 remainder 16
2 20 ÷ 16 = 1 remainder 4
3 16 ÷ 4 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
96 and 474512
184 and 18333672
73 and 402920
150 and 1554650
173 and 13222836

Try Calculating LCM of Other Numbers







Related Calculators