Least Common Multiple (LCM) of 165 and 146
The least common multiple (LCM) of 165 and 146 is 24090.
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 146?
First, calculate the GCD of 165 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 146 = 1 remainder 19 |
| 2 | 146 ÷ 19 = 7 remainder 13 |
| 3 | 19 ÷ 13 = 1 remainder 6 |
| 4 | 13 ÷ 6 = 2 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 45 | 90 |
| 133 and 70 | 1330 |
| 128 and 32 | 128 |
| 13 and 179 | 2327 |
| 52 and 85 | 4420 |