Least Common Multiple (LCM) of 102 and 135
The least common multiple (LCM) of 102 and 135 is 4590.
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 102 and 135?
First, calculate the GCD of 102 and 135 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 135 = 0 remainder 102 |
| 2 | 135 ÷ 102 = 1 remainder 33 |
| 3 | 102 ÷ 33 = 3 remainder 3 |
| 4 | 33 ÷ 3 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 26 | 416 |
| 145 and 154 | 22330 |
| 186 and 100 | 9300 |
| 195 and 38 | 7410 |
| 57 and 11 | 627 |