Least Common Multiple (LCM) of 27 and 156
The least common multiple (LCM) of 27 and 156 is 1404.
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 156?
First, calculate the GCD of 27 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 27 ÷ 156 = 0 remainder 27 |
| 2 | 156 ÷ 27 = 5 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 |
|---|---|
| 41 and 10 | 410 |
| 69 and 18 | 414 |
| 103 and 83 | 8549 |
| 140 and 179 | 25060 |
| 41 and 52 | 2132 |