Least Common Multiple (LCM) of 115 and 136
The least common multiple (LCM) of 115 and 136 is 15640.
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 115 and 136?
First, calculate the GCD of 115 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 136 = 0 remainder 115 |
| 2 | 136 ÷ 115 = 1 remainder 21 |
| 3 | 115 ÷ 21 = 5 remainder 10 |
| 4 | 21 ÷ 10 = 2 remainder 1 |
| 5 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 103 | 7931 |
| 20 and 30 | 60 |
| 136 and 122 | 8296 |
| 102 and 199 | 20298 |
| 29 and 176 | 5104 |