Least Common Multiple (LCM) of 15 and 17
The least common multiple (LCM) of 15 and 17 is 255.
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 17?
First, calculate the GCD of 15 and 17 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 15 ÷ 17 = 0 remainder 15 |
| 2 | 17 ÷ 15 = 1 remainder 2 |
| 3 | 15 ÷ 2 = 7 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 134 | 12462 |
| 27 and 188 | 5076 |
| 176 and 62 | 5456 |
| 177 and 52 | 9204 |
| 43 and 187 | 8041 |