Least Common Multiple (LCM) of 124 and 57
The least common multiple (LCM) of 124 and 57 is 7068.
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 57?
First, calculate the GCD of 124 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 57 = 2 remainder 10 |
| 2 | 57 ÷ 10 = 5 remainder 7 |
| 3 | 10 ÷ 7 = 1 remainder 3 |
| 4 | 7 ÷ 3 = 2 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 51 | 3264 |
| 166 and 102 | 8466 |
| 199 and 42 | 8358 |
| 45 and 76 | 3420 |
| 181 and 137 | 24797 |