Least Common Multiple (LCM) of 185 and 136
The least common multiple (LCM) of 185 and 136 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 185 and 136?
First, calculate the GCD of 185 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 136 = 1 remainder 49 |
| 2 | 136 ÷ 49 = 2 remainder 38 |
| 3 | 49 ÷ 38 = 1 remainder 11 |
| 4 | 38 ÷ 11 = 3 remainder 5 |
| 5 | 11 ÷ 5 = 2 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 177 | 10089 |
| 23 and 118 | 2714 |
| 141 and 174 | 8178 |
| 171 and 12 | 684 |
| 123 and 13 | 1599 |