Least Common Multiple (LCM) of 65 and 183
The least common multiple (LCM) of 65 and 183 is 11895.
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 65 and 183?
First, calculate the GCD of 65 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 65 ÷ 183 = 0 remainder 65 |
| 2 | 183 ÷ 65 = 2 remainder 53 |
| 3 | 65 ÷ 53 = 1 remainder 12 |
| 4 | 53 ÷ 12 = 4 remainder 5 |
| 5 | 12 ÷ 5 = 2 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 33 | 462 |
| 118 and 71 | 8378 |
| 152 and 147 | 22344 |
| 23 and 19 | 437 |
| 173 and 52 | 8996 |