Least Common Multiple (LCM) of 55 and 161
The least common multiple (LCM) of 55 and 161 is 8855.
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 161?
First, calculate the GCD of 55 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 55 ÷ 161 = 0 remainder 55 |
| 2 | 161 ÷ 55 = 2 remainder 51 |
| 3 | 55 ÷ 51 = 1 remainder 4 |
| 4 | 51 ÷ 4 = 12 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 160 | 5920 |
| 91 and 103 | 9373 |
| 103 and 77 | 7931 |
| 96 and 47 | 4512 |
| 15 and 115 | 345 |