Least Common Multiple (LCM) of 124 and 183
The least common multiple (LCM) of 124 and 183 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 124 and 183?
First, calculate the GCD of 124 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 183 = 0 remainder 124 |
| 2 | 183 ÷ 124 = 1 remainder 59 |
| 3 | 124 ÷ 59 = 2 remainder 6 |
| 4 | 59 ÷ 6 = 9 remainder 5 |
| 5 | 6 ÷ 5 = 1 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 53 | 583 |
| 188 and 79 | 14852 |
| 105 and 189 | 945 |
| 43 and 114 | 4902 |
| 53 and 155 | 8215 |