Least Common Multiple (LCM) of 124 and 68
The least common multiple (LCM) of 124 and 68 is 2108.
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 68?
First, calculate the GCD of 124 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 68 = 1 remainder 56 |
| 2 | 68 ÷ 56 = 1 remainder 12 |
| 3 | 56 ÷ 12 = 4 remainder 8 |
| 4 | 12 ÷ 8 = 1 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 71 | 7597 |
| 144 and 12 | 144 |
| 61 and 65 | 3965 |
| 34 and 66 | 1122 |
| 71 and 173 | 12283 |