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 |
|---|---|
| 170 and 103 | 17510 |
| 44 and 12 | 132 |
| 85 and 171 | 14535 |
| 60 and 70 | 420 |
| 114 and 73 | 8322 |