Least Common Multiple (LCM) of 135 and 190
The least common multiple (LCM) of 135 and 190 is 5130.
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 190?
First, calculate the GCD of 135 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 135 ÷ 190 = 0 remainder 135 |
| 2 | 190 ÷ 135 = 1 remainder 55 |
| 3 | 135 ÷ 55 = 2 remainder 25 |
| 4 | 55 ÷ 25 = 2 remainder 5 |
| 5 | 25 ÷ 5 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 74 and 180 | 6660 |
| 25 and 185 | 925 |
| 171 and 88 | 15048 |
| 89 and 172 | 15308 |
| 149 and 101 | 15049 |