Least Common Multiple (LCM) of 185 and 165
The least common multiple (LCM) of 185 and 165 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 185 and 165?
First, calculate the GCD of 185 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 165 = 1 remainder 20 |
| 2 | 165 ÷ 20 = 8 remainder 5 |
| 3 | 20 ÷ 5 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 163 | 22005 |
| 107 and 199 | 21293 |
| 130 and 125 | 3250 |
| 55 and 178 | 9790 |
| 56 and 144 | 1008 |