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 |
|---|---|
| 146 and 197 | 28762 |
| 185 and 105 | 3885 |
| 20 and 160 | 160 |
| 16 and 184 | 368 |
| 191 and 172 | 32852 |