Least Common Multiple (LCM) of 27 and 39
The least common multiple (LCM) of 27 and 39 is 351.
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 39?
First, calculate the GCD of 27 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 27 ÷ 39 = 0 remainder 27 |
| 2 | 39 ÷ 27 = 1 remainder 12 |
| 3 | 27 ÷ 12 = 2 remainder 3 |
| 4 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 78 | 5460 |
| 34 and 99 | 3366 |
| 175 and 54 | 9450 |
| 149 and 138 | 20562 |
| 170 and 128 | 10880 |