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 |
|---|---|
| 189 and 175 | 4725 |
| 190 and 110 | 2090 |
| 135 and 130 | 3510 |
| 33 and 160 | 5280 |
| 34 and 169 | 5746 |