Least Common Multiple (LCM) of 15 and 127
The least common multiple (LCM) of 15 and 127 is 1905.
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 15 and 127?
First, calculate the GCD of 15 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 15 ÷ 127 = 0 remainder 15 |
| 2 | 127 ÷ 15 = 8 remainder 7 |
| 3 | 15 ÷ 7 = 2 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 155 | 24645 |
| 119 and 133 | 2261 |
| 46 and 196 | 4508 |
| 98 and 56 | 392 |
| 49 and 11 | 539 |