Least Common Multiple (LCM) of 56 and 183
The least common multiple (LCM) of 56 and 183 is 10248.
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 56 and 183?
First, calculate the GCD of 56 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 56 ÷ 183 = 0 remainder 56 |
| 2 | 183 ÷ 56 = 3 remainder 15 |
| 3 | 56 ÷ 15 = 3 remainder 11 |
| 4 | 15 ÷ 11 = 1 remainder 4 |
| 5 | 11 ÷ 4 = 2 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 65 | 2015 |
| 147 and 23 | 3381 |
| 110 and 158 | 8690 |
| 52 and 45 | 2340 |
| 198 and 56 | 5544 |