Least Common Multiple (LCM) of 173 and 161
The least common multiple (LCM) of 173 and 161 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 173 and 161?
First, calculate the GCD of 173 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 161 = 1 remainder 12 |
| 2 | 161 ÷ 12 = 13 remainder 5 |
| 3 | 12 ÷ 5 = 2 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 91 | 13923 |
| 122 and 95 | 11590 |
| 87 and 165 | 4785 |
| 53 and 36 | 1908 |
| 14 and 24 | 168 |