Least Common Multiple (LCM) of 155 and 116
The least common multiple (LCM) of 155 and 116 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 155 and 116?
First, calculate the GCD of 155 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 116 = 1 remainder 39 |
| 2 | 116 ÷ 39 = 2 remainder 38 |
| 3 | 39 ÷ 38 = 1 remainder 1 |
| 4 | 38 ÷ 1 = 38 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 46 and 100 | 2300 |
| 56 and 192 | 1344 |
| 200 and 61 | 12200 |
| 167 and 199 | 33233 |
| 109 and 20 | 2180 |