Least Common Multiple (LCM) of 165 and 149
The least common multiple (LCM) of 165 and 149 is 24585.
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 149?
First, calculate the GCD of 165 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 149 = 1 remainder 16 |
| 2 | 149 ÷ 16 = 9 remainder 5 |
| 3 | 16 ÷ 5 = 3 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 77 | 2233 |
| 42 and 178 | 3738 |
| 101 and 156 | 15756 |
| 172 and 115 | 19780 |
| 73 and 192 | 14016 |