Least Common Multiple (LCM) of 165 and 150
The least common multiple (LCM) of 165 and 150 is 1650.
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 150?
First, calculate the GCD of 165 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 150 = 1 remainder 15 |
| 2 | 150 ÷ 15 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 19 | 266 |
| 44 and 177 | 7788 |
| 123 and 55 | 6765 |
| 180 and 172 | 7740 |
| 171 and 36 | 684 |