Least Common Multiple (LCM) of 27 and 192
The least common multiple (LCM) of 27 and 192 is 1728.
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 27 and 192?
First, calculate the GCD of 27 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 27 ÷ 192 = 0 remainder 27 |
| 2 | 192 ÷ 27 = 7 remainder 3 |
| 3 | 27 ÷ 3 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 82 | 7380 |
| 37 and 158 | 5846 |
| 196 and 120 | 5880 |
| 132 and 59 | 7788 |
| 54 and 184 | 4968 |