Least Common Multiple (LCM) of 51 and 182
The least common multiple (LCM) of 51 and 182 is 9282.
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 182?
First, calculate the GCD of 51 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 51 ÷ 182 = 0 remainder 51 |
| 2 | 182 ÷ 51 = 3 remainder 29 |
| 3 | 51 ÷ 29 = 1 remainder 22 |
| 4 | 29 ÷ 22 = 1 remainder 7 |
| 5 | 22 ÷ 7 = 3 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 77 | 1386 |
| 53 and 148 | 7844 |
| 54 and 64 | 1728 |
| 194 and 150 | 14550 |
| 100 and 13 | 1300 |