Least Common Multiple (LCM) of 55 and 182
The least common multiple (LCM) of 55 and 182 is 10010.
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 55 and 182?
First, calculate the GCD of 55 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 55 ÷ 182 = 0 remainder 55 |
| 2 | 182 ÷ 55 = 3 remainder 17 |
| 3 | 55 ÷ 17 = 3 remainder 4 |
| 4 | 17 ÷ 4 = 4 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 80 | 15920 |
| 140 and 42 | 420 |
| 55 and 123 | 6765 |
| 189 and 51 | 3213 |
| 131 and 16 | 2096 |