Least Common Multiple (LCM) of 10 and 183
The least common multiple (LCM) of 10 and 183 is 1830.
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 10 and 183?
First, calculate the GCD of 10 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 10 ÷ 183 = 0 remainder 10 |
| 2 | 183 ÷ 10 = 18 remainder 3 |
| 3 | 10 ÷ 3 = 3 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 52 | 3068 |
| 65 and 190 | 2470 |
| 104 and 132 | 3432 |
| 186 and 196 | 18228 |
| 152 and 192 | 3648 |