Least Common Multiple (LCM) of 15 and 179
The least common multiple (LCM) of 15 and 179 is 2685.
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 179?
First, calculate the GCD of 15 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 15 ÷ 179 = 0 remainder 15 |
| 2 | 179 ÷ 15 = 11 remainder 14 |
| 3 | 15 ÷ 14 = 1 remainder 1 |
| 4 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 21 | 819 |
| 51 and 135 | 2295 |
| 190 and 178 | 16910 |
| 108 and 108 | 108 |
| 135 and 93 | 4185 |