Least Common Multiple (LCM) of 15 and 160
The least common multiple (LCM) of 15 and 160 is 480.
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 160?
First, calculate the GCD of 15 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 15 ÷ 160 = 0 remainder 15 |
| 2 | 160 ÷ 15 = 10 remainder 10 |
| 3 | 15 ÷ 10 = 1 remainder 5 |
| 4 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 87 | 9309 |
| 177 and 84 | 4956 |
| 97 and 51 | 4947 |
| 150 and 177 | 8850 |
| 84 and 42 | 84 |