Least Common Multiple (LCM) of 27 and 160
The least common multiple (LCM) of 27 and 160 is 4320.
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 160?
First, calculate the GCD of 27 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 27 ÷ 160 = 0 remainder 27 |
| 2 | 160 ÷ 27 = 5 remainder 25 |
| 3 | 27 ÷ 25 = 1 remainder 2 |
| 4 | 25 ÷ 2 = 12 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 24 | 1368 |
| 78 and 132 | 1716 |
| 131 and 99 | 12969 |
| 195 and 70 | 2730 |
| 190 and 13 | 2470 |