Least Common Multiple (LCM) of 136 and 183
The least common multiple (LCM) of 136 and 183 is 24888.
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 183?
First, calculate the GCD of 136 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 183 = 0 remainder 136 |
| 2 | 183 ÷ 136 = 1 remainder 47 |
| 3 | 136 ÷ 47 = 2 remainder 42 |
| 4 | 47 ÷ 42 = 1 remainder 5 |
| 5 | 42 ÷ 5 = 8 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 65 | 195 |
| 172 and 23 | 3956 |
| 112 and 96 | 672 |
| 167 and 37 | 6179 |
| 67 and 28 | 1876 |