Least Common Multiple (LCM) of 192 and 115
The least common multiple (LCM) of 192 and 115 is 22080.
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 192 and 115?
First, calculate the GCD of 192 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 115 = 1 remainder 77 |
| 2 | 115 ÷ 77 = 1 remainder 38 |
| 3 | 77 ÷ 38 = 2 remainder 1 |
| 4 | 38 ÷ 1 = 38 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 59 | 2655 |
| 85 and 185 | 3145 |
| 194 and 101 | 19594 |
| 77 and 12 | 924 |
| 84 and 67 | 5628 |