Least Common Multiple (LCM) of 146 and 165
The least common multiple (LCM) of 146 and 165 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 146 and 165?
First, calculate the GCD of 146 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 165 = 0 remainder 146 |
| 2 | 165 ÷ 146 = 1 remainder 19 |
| 3 | 146 ÷ 19 = 7 remainder 13 |
| 4 | 19 ÷ 13 = 1 remainder 6 |
| 5 | 13 ÷ 6 = 2 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 129 | 11481 |
| 14 and 142 | 994 |
| 192 and 171 | 10944 |
| 145 and 142 | 20590 |
| 115 and 196 | 22540 |