Least Common Multiple (LCM) of 27 and 181
The least common multiple (LCM) of 27 and 181 is 4887.
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 181?
First, calculate the GCD of 27 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 27 ÷ 181 = 0 remainder 27 |
| 2 | 181 ÷ 27 = 6 remainder 19 |
| 3 | 27 ÷ 19 = 1 remainder 8 |
| 4 | 19 ÷ 8 = 2 remainder 3 |
| 5 | 8 ÷ 3 = 2 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 68 | 4692 |
| 108 and 118 | 6372 |
| 71 and 42 | 2982 |
| 119 and 67 | 7973 |
| 140 and 63 | 1260 |