Least Common Multiple (LCM) of 76 and 183
The least common multiple (LCM) of 76 and 183 is 13908.
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 76 and 183?
First, calculate the GCD of 76 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 76 ÷ 183 = 0 remainder 76 |
| 2 | 183 ÷ 76 = 2 remainder 31 |
| 3 | 76 ÷ 31 = 2 remainder 14 |
| 4 | 31 ÷ 14 = 2 remainder 3 |
| 5 | 14 ÷ 3 = 4 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 142 | 11928 |
| 147 and 147 | 147 |
| 108 and 152 | 4104 |
| 110 and 172 | 9460 |
| 193 and 181 | 34933 |