Least Common Multiple (LCM) of 32 and 181
The least common multiple (LCM) of 32 and 181 is 5792.
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 32 and 181?
First, calculate the GCD of 32 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 32 ÷ 181 = 0 remainder 32 |
| 2 | 181 ÷ 32 = 5 remainder 21 |
| 3 | 32 ÷ 21 = 1 remainder 11 |
| 4 | 21 ÷ 11 = 1 remainder 10 |
| 5 | 11 ÷ 10 = 1 remainder 1 |
| 6 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 82 and 20 | 820 |
| 23 and 127 | 2921 |
| 134 and 111 | 14874 |
| 59 and 132 | 7788 |
| 30 and 60 | 60 |