Least Common Multiple (LCM) of 192 and 181
The least common multiple (LCM) of 192 and 181 is 34752.
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 181?
First, calculate the GCD of 192 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 181 = 1 remainder 11 |
| 2 | 181 ÷ 11 = 16 remainder 5 |
| 3 | 11 ÷ 5 = 2 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 158 | 8374 |
| 16 and 67 | 1072 |
| 88 and 131 | 11528 |
| 26 and 180 | 2340 |
| 174 and 188 | 16356 |