Least Common Multiple (LCM) of 166 and 185
The least common multiple (LCM) of 166 and 185 is 30710.
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 166 and 185?
First, calculate the GCD of 166 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 185 = 0 remainder 166 |
| 2 | 185 ÷ 166 = 1 remainder 19 |
| 3 | 166 ÷ 19 = 8 remainder 14 |
| 4 | 19 ÷ 14 = 1 remainder 5 |
| 5 | 14 ÷ 5 = 2 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 99 and 25 | 2475 |
| 165 and 47 | 7755 |
| 160 and 184 | 3680 |
| 170 and 200 | 3400 |
| 185 and 51 | 9435 |