Least Common Multiple (LCM) of 155 and 135
The least common multiple (LCM) of 155 and 135 is 4185.
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 155 and 135?
First, calculate the GCD of 155 and 135 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 135 = 1 remainder 20 |
| 2 | 135 ÷ 20 = 6 remainder 15 |
| 3 | 20 ÷ 15 = 1 remainder 5 |
| 4 | 15 ÷ 5 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 72 and 140 | 2520 |
| 194 and 99 | 19206 |
| 132 and 198 | 396 |
| 169 and 109 | 18421 |
| 177 and 197 | 34869 |