Least Common Multiple (LCM) of 77 and 183
The least common multiple (LCM) of 77 and 183 is 14091.
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 77 and 183?
First, calculate the GCD of 77 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 77 ÷ 183 = 0 remainder 77 |
| 2 | 183 ÷ 77 = 2 remainder 29 |
| 3 | 77 ÷ 29 = 2 remainder 19 |
| 4 | 29 ÷ 19 = 1 remainder 10 |
| 5 | 19 ÷ 10 = 1 remainder 9 |
| 6 | 10 ÷ 9 = 1 remainder 1 |
| 7 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 104 | 15496 |
| 141 and 60 | 2820 |
| 159 and 63 | 3339 |
| 68 and 40 | 680 |
| 189 and 48 | 3024 |