Least Common Multiple (LCM) of 183 and 64
The least common multiple (LCM) of 183 and 64 is 11712.
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 183 and 64?
First, calculate the GCD of 183 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 64 = 2 remainder 55 |
| 2 | 64 ÷ 55 = 1 remainder 9 |
| 3 | 55 ÷ 9 = 6 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 10 | 180 |
| 184 and 172 | 7912 |
| 34 and 31 | 1054 |
| 169 and 198 | 33462 |
| 72 and 65 | 4680 |