Least Common Multiple (LCM) of 186 and 110
The least common multiple (LCM) of 186 and 110 is 10230.
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 186 and 110?
First, calculate the GCD of 186 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 110 = 1 remainder 76 |
| 2 | 110 ÷ 76 = 1 remainder 34 |
| 3 | 76 ÷ 34 = 2 remainder 8 |
| 4 | 34 ÷ 8 = 4 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 101 | 1010 |
| 135 and 164 | 22140 |
| 43 and 170 | 7310 |
| 86 and 177 | 15222 |
| 82 and 172 | 7052 |