Least Common Multiple (LCM) of 165 and 185
The least common multiple (LCM) of 165 and 185 is 6105.
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 185?
First, calculate the GCD of 165 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 185 = 0 remainder 165 |
| 2 | 185 ÷ 165 = 1 remainder 20 |
| 3 | 165 ÷ 20 = 8 remainder 5 |
| 4 | 20 ÷ 5 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 52 and 42 | 1092 |
| 48 and 135 | 2160 |
| 148 and 173 | 25604 |
| 174 and 199 | 34626 |
| 96 and 20 | 480 |