Least Common Multiple (LCM) of 55 and 181
The least common multiple (LCM) of 55 and 181 is 9955.
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 181?
First, calculate the GCD of 55 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 55 ÷ 181 = 0 remainder 55 |
| 2 | 181 ÷ 55 = 3 remainder 16 |
| 3 | 55 ÷ 16 = 3 remainder 7 |
| 4 | 16 ÷ 7 = 2 remainder 2 |
| 5 | 7 ÷ 2 = 3 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 35 | 735 |
| 173 and 83 | 14359 |
| 13 and 42 | 546 |
| 57 and 139 | 7923 |
| 177 and 171 | 10089 |