Least Common Multiple (LCM) of 124 and 128
The least common multiple (LCM) of 124 and 128 is 3968.
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 128?
First, calculate the GCD of 124 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 128 = 0 remainder 124 |
| 2 | 128 ÷ 124 = 1 remainder 4 |
| 3 | 124 ÷ 4 = 31 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 71 | 7455 |
| 40 and 142 | 2840 |
| 147 and 58 | 8526 |
| 57 and 69 | 1311 |
| 53 and 17 | 901 |