Least Common Multiple (LCM) of 165 and 147
The least common multiple (LCM) of 165 and 147 is 8085.
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 165 and 147?
First, calculate the GCD of 165 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 147 = 1 remainder 18 |
| 2 | 147 ÷ 18 = 8 remainder 3 |
| 3 | 18 ÷ 3 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 86 | 14362 |
| 137 and 199 | 27263 |
| 62 and 43 | 2666 |
| 150 and 25 | 150 |
| 183 and 34 | 6222 |