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 |
|---|---|
| 158 and 136 | 10744 |
| 188 and 59 | 11092 |
| 27 and 105 | 945 |
| 111 and 194 | 21534 |
| 46 and 151 | 6946 |