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 |
|---|---|
| 198 and 137 | 27126 |
| 200 and 99 | 19800 |
| 152 and 141 | 21432 |
| 33 and 31 | 1023 |
| 139 and 185 | 25715 |