Least Common Multiple (LCM) of 320 and 263
The least common multiple (LCM) of 320 and 263 is 84160.
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 320 and 263?
First, calculate the GCD of 320 and 263 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 320 ÷ 263 = 1 remainder 57 |
| 2 | 263 ÷ 57 = 4 remainder 35 |
| 3 | 57 ÷ 35 = 1 remainder 22 |
| 4 | 35 ÷ 22 = 1 remainder 13 |
| 5 | 22 ÷ 13 = 1 remainder 9 |
| 6 | 13 ÷ 9 = 1 remainder 4 |
| 7 | 9 ÷ 4 = 2 remainder 1 |
| 8 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 119 | 2975 |
| 135 and 172 | 23220 |
| 154 and 22 | 154 |
| 79 and 89 | 7031 |
| 53 and 111 | 5883 |