Least Common Multiple (LCM) of 136 and 115
The least common multiple (LCM) of 136 and 115 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 136 and 115?
First, calculate the GCD of 136 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 115 = 1 remainder 21 |
| 2 | 115 ÷ 21 = 5 remainder 10 |
| 3 | 21 ÷ 10 = 2 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 53 | 6784 |
| 96 and 200 | 2400 |
| 40 and 174 | 3480 |
| 19 and 190 | 190 |
| 29 and 35 | 1015 |