Least Common Multiple (LCM) of 27 and 183
The least common multiple (LCM) of 27 and 183 is 1647.
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 183?
First, calculate the GCD of 27 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 27 ÷ 183 = 0 remainder 27 |
| 2 | 183 ÷ 27 = 6 remainder 21 |
| 3 | 27 ÷ 21 = 1 remainder 6 |
| 4 | 21 ÷ 6 = 3 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 70 | 770 |
| 54 and 64 | 1728 |
| 41 and 182 | 7462 |
| 149 and 83 | 12367 |
| 164 and 53 | 8692 |