Least Common Multiple (LCM) of 124 and 127
The least common multiple (LCM) of 124 and 127 is 15748.
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 127?
First, calculate the GCD of 124 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 127 = 0 remainder 124 |
| 2 | 127 ÷ 124 = 1 remainder 3 |
| 3 | 124 ÷ 3 = 41 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 172 | 5848 |
| 200 and 178 | 17800 |
| 75 and 112 | 8400 |
| 55 and 72 | 3960 |
| 200 and 198 | 19800 |