Least Common Multiple (LCM) of 183 and 127
The least common multiple (LCM) of 183 and 127 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 183 and 127?
First, calculate the GCD of 183 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 127 = 1 remainder 56 |
| 2 | 127 ÷ 56 = 2 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 |
|---|---|
| 117 and 161 | 18837 |
| 15 and 41 | 615 |
| 102 and 127 | 12954 |
| 48 and 112 | 336 |
| 112 and 57 | 6384 |