Least Common Multiple (LCM) of 136 and 135
The least common multiple (LCM) of 136 and 135 is 18360.
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 135?
First, calculate the GCD of 136 and 135 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 135 = 1 remainder 1 |
| 2 | 135 ÷ 1 = 135 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 83 and 52 | 4316 |
| 114 and 30 | 570 |
| 57 and 22 | 1254 |
| 109 and 19 | 2071 |
| 117 and 172 | 20124 |