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
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 20 = 5 remainder 16 |
| 2 | 20 ÷ 16 = 1 remainder 4 |
| 3 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 113 | 14803 |
| 19 and 81 | 1539 |
| 81 and 144 | 1296 |
| 169 and 109 | 18421 |
| 178 and 108 | 9612 |