Least Common Multiple (LCM) of 183 and 134
The least common multiple (LCM) of 183 and 134 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 183 and 134?
First, calculate the GCD of 183 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 134 = 1 remainder 49 |
| 2 | 134 ÷ 49 = 2 remainder 36 |
| 3 | 49 ÷ 36 = 1 remainder 13 |
| 4 | 36 ÷ 13 = 2 remainder 10 |
| 5 | 13 ÷ 10 = 1 remainder 3 |
| 6 | 10 ÷ 3 = 3 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 181 | 8145 |
| 105 and 180 | 1260 |
| 162 and 167 | 27054 |
| 78 and 64 | 2496 |
| 18 and 102 | 306 |