Least Common Multiple (LCM) of 185 and 135
The least common multiple (LCM) of 185 and 135 is 4995.
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 185 and 135?
First, calculate the GCD of 185 and 135 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 135 = 1 remainder 50 |
| 2 | 135 ÷ 50 = 2 remainder 35 |
| 3 | 50 ÷ 35 = 1 remainder 15 |
| 4 | 35 ÷ 15 = 2 remainder 5 |
| 5 | 15 ÷ 5 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 39 and 142 | 5538 |
| 46 and 13 | 598 |
| 105 and 152 | 15960 |
| 48 and 65 | 3120 |
| 182 and 182 | 182 |