Least Common Multiple (LCM) of 127 and 183
The least common multiple (LCM) of 127 and 183 is 23241.
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 127 and 183?
First, calculate the GCD of 127 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 183 = 0 remainder 127 |
| 2 | 183 ÷ 127 = 1 remainder 56 |
| 3 | 127 ÷ 56 = 2 remainder 15 |
| 4 | 56 ÷ 15 = 3 remainder 11 |
| 5 | 15 ÷ 11 = 1 remainder 4 |
| 6 | 11 ÷ 4 = 2 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 46 and 120 | 2760 |
| 20 and 12 | 60 |
| 96 and 127 | 12192 |
| 74 and 67 | 4958 |
| 88 and 75 | 6600 |