Least Common Multiple (LCM) of 51 and 183
The least common multiple (LCM) of 51 and 183 is 3111.
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 51 and 183?
First, calculate the GCD of 51 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 51 ÷ 183 = 0 remainder 51 |
| 2 | 183 ÷ 51 = 3 remainder 30 |
| 3 | 51 ÷ 30 = 1 remainder 21 |
| 4 | 30 ÷ 21 = 1 remainder 9 |
| 5 | 21 ÷ 9 = 2 remainder 3 |
| 6 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 30 | 1530 |
| 41 and 20 | 820 |
| 162 and 86 | 6966 |
| 52 and 132 | 1716 |
| 63 and 62 | 3906 |