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 |
|---|---|
| 126 and 40 | 2520 |
| 155 and 17 | 2635 |
| 160 and 38 | 3040 |
| 105 and 67 | 7035 |
| 116 and 28 | 812 |