Least Common Multiple (LCM) of 27 and 88
The least common multiple (LCM) of 27 and 88 is 2376.
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 88?
First, calculate the GCD of 27 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 27 ÷ 88 = 0 remainder 27 |
| 2 | 88 ÷ 27 = 3 remainder 7 |
| 3 | 27 ÷ 7 = 3 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 82 and 29 | 2378 |
| 160 and 34 | 2720 |
| 200 and 186 | 18600 |
| 172 and 189 | 32508 |
| 180 and 167 | 30060 |