Least Common Multiple (LCM) of 66 and 185
The least common multiple (LCM) of 66 and 185 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 66 and 185?
First, calculate the GCD of 66 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 185 = 0 remainder 66 |
| 2 | 185 ÷ 66 = 2 remainder 53 |
| 3 | 66 ÷ 53 = 1 remainder 13 |
| 4 | 53 ÷ 13 = 4 remainder 1 |
| 5 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 104 | 520 |
| 96 and 126 | 2016 |
| 176 and 153 | 26928 |
| 11 and 120 | 1320 |
| 185 and 136 | 25160 |