Least Common Multiple (LCM) of 136 and 185
The least common multiple (LCM) of 136 and 185 is 25160.
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 136 and 185?
First, calculate the GCD of 136 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 185 = 0 remainder 136 |
| 2 | 185 ÷ 136 = 1 remainder 49 |
| 3 | 136 ÷ 49 = 2 remainder 38 |
| 4 | 49 ÷ 38 = 1 remainder 11 |
| 5 | 38 ÷ 11 = 3 remainder 5 |
| 6 | 11 ÷ 5 = 2 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 115 | 3335 |
| 70 and 82 | 2870 |
| 198 and 158 | 15642 |
| 55 and 15 | 165 |
| 171 and 90 | 1710 |