Least Common Multiple (LCM) of 161 and 173
The least common multiple (LCM) of 161 and 173 is 27853.
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 161 and 173?
First, calculate the GCD of 161 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 173 = 0 remainder 161 |
| 2 | 173 ÷ 161 = 1 remainder 12 |
| 3 | 161 ÷ 12 = 13 remainder 5 |
| 4 | 12 ÷ 5 = 2 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 196 | 2940 |
| 128 and 26 | 1664 |
| 88 and 144 | 1584 |
| 65 and 114 | 7410 |
| 84 and 106 | 4452 |