Least Common Multiple (LCM) of 12 and 181
The least common multiple (LCM) of 12 and 181 is 2172.
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 12 and 181?
First, calculate the GCD of 12 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 12 ÷ 181 = 0 remainder 12 |
| 2 | 181 ÷ 12 = 15 remainder 1 |
| 3 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 101 | 6565 |
| 70 and 82 | 2870 |
| 46 and 96 | 2208 |
| 57 and 24 | 456 |
| 155 and 116 | 17980 |