Least Common Multiple (LCM) of 181 and 32
The least common multiple (LCM) of 181 and 32 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 181 and 32?
First, calculate the GCD of 181 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 32 = 5 remainder 21 |
| 2 | 32 ÷ 21 = 1 remainder 11 |
| 3 | 21 ÷ 11 = 1 remainder 10 |
| 4 | 11 ÷ 10 = 1 remainder 1 |
| 5 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 88 | 1584 |
| 155 and 47 | 7285 |
| 100 and 182 | 9100 |
| 128 and 166 | 10624 |
| 100 and 163 | 16300 |