Least Common Multiple (LCM) of 183 and 124
The least common multiple (LCM) of 183 and 124 is 22692.
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 124?
First, calculate the GCD of 183 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 124 = 1 remainder 59 |
| 2 | 124 ÷ 59 = 2 remainder 6 |
| 3 | 59 ÷ 6 = 9 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 57 and 81 | 1539 |
| 11 and 62 | 682 |
| 124 and 136 | 4216 |
| 136 and 127 | 17272 |
| 45 and 188 | 8460 |