Least Common Multiple (LCM) of 149 and 192
The least common multiple (LCM) of 149 and 192 is 28608.
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 149 and 192?
First, calculate the GCD of 149 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 192 = 0 remainder 149 |
| 2 | 192 ÷ 149 = 1 remainder 43 |
| 3 | 149 ÷ 43 = 3 remainder 20 |
| 4 | 43 ÷ 20 = 2 remainder 3 |
| 5 | 20 ÷ 3 = 6 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 124 | 4340 |
| 81 and 28 | 2268 |
| 186 and 32 | 2976 |
| 14 and 29 | 406 |
| 180 and 16 | 720 |