Least Common Multiple (LCM) of 160 and 15
The least common multiple (LCM) of 160 and 15 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 160 and 15?
First, calculate the GCD of 160 and 15 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 15 = 10 remainder 10 |
| 2 | 15 ÷ 10 = 1 remainder 5 |
| 3 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 45 | 855 |
| 69 and 179 | 12351 |
| 109 and 179 | 19511 |
| 197 and 74 | 14578 |
| 160 and 146 | 11680 |