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 |
|---|---|
| 189 and 71 | 13419 |
| 117 and 193 | 22581 |
| 174 and 49 | 8526 |
| 115 and 164 | 18860 |
| 33 and 162 | 1782 |