Least Common Multiple (LCM) of 179 and 15
The least common multiple (LCM) of 179 and 15 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 179 and 15?
First, calculate the GCD of 179 and 15 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 15 = 11 remainder 14 |
| 2 | 15 ÷ 14 = 1 remainder 1 |
| 3 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 28 | 140 |
| 138 and 137 | 18906 |
| 157 and 36 | 5652 |
| 30 and 113 | 3390 |
| 142 and 58 | 4118 |