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 |
|---|---|
| 122 and 14 | 854 |
| 141 and 175 | 24675 |
| 198 and 49 | 9702 |
| 132 and 70 | 4620 |
| 117 and 62 | 7254 |