Least Common Multiple (LCM) of 135 and 25
The least common multiple (LCM) of 135 and 25 is 675.
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 135 and 25?
First, calculate the GCD of 135 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 135 ÷ 25 = 5 remainder 10 |
| 2 | 25 ÷ 10 = 2 remainder 5 |
| 3 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 97 and 198 | 19206 |
| 144 and 20 | 720 |
| 111 and 85 | 9435 |
| 134 and 82 | 5494 |
| 60 and 133 | 7980 |