Least Common Multiple (LCM) of 134 and 183
The least common multiple (LCM) of 134 and 183 is 24522.
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 134 and 183?
First, calculate the GCD of 134 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 183 = 0 remainder 134 |
| 2 | 183 ÷ 134 = 1 remainder 49 |
| 3 | 134 ÷ 49 = 2 remainder 36 |
| 4 | 49 ÷ 36 = 1 remainder 13 |
| 5 | 36 ÷ 13 = 2 remainder 10 |
| 6 | 13 ÷ 10 = 1 remainder 3 |
| 7 | 10 ÷ 3 = 3 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 97 and 128 | 12416 |
| 161 and 97 | 15617 |
| 45 and 65 | 585 |
| 113 and 91 | 10283 |
| 88 and 174 | 7656 |