Least Common Multiple (LCM) of 116 and 155
The least common multiple (LCM) of 116 and 155 is 17980.
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 155?
First, calculate the GCD of 116 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 155 = 0 remainder 116 |
| 2 | 155 ÷ 116 = 1 remainder 39 |
| 3 | 116 ÷ 39 = 2 remainder 38 |
| 4 | 39 ÷ 38 = 1 remainder 1 |
| 5 | 38 ÷ 1 = 38 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 90 and 37 | 3330 |
| 32 and 116 | 928 |
| 48 and 25 | 1200 |
| 20 and 19 | 380 |
| 199 and 46 | 9154 |