Least Common Multiple (LCM) of 181 and 73
The least common multiple (LCM) of 181 and 73 is 13213.
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 181 and 73?
First, calculate the GCD of 181 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 73 = 2 remainder 35 |
| 2 | 73 ÷ 35 = 2 remainder 3 |
| 3 | 35 ÷ 3 = 11 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 97 | 14259 |
| 167 and 19 | 3173 |
| 160 and 97 | 15520 |
| 22 and 156 | 1716 |
| 132 and 144 | 1584 |