Least Common Multiple (LCM) of 185 and 66
The least common multiple (LCM) of 185 and 66 is 12210.
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 66?
First, calculate the GCD of 185 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 66 = 2 remainder 53 |
| 2 | 66 ÷ 53 = 1 remainder 13 |
| 3 | 53 ÷ 13 = 4 remainder 1 |
| 4 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 70 | 7630 |
| 180 and 171 | 3420 |
| 25 and 48 | 1200 |
| 97 and 161 | 15617 |
| 174 and 18 | 522 |