Least Common Multiple (LCM) of 181 and 46
The least common multiple (LCM) of 181 and 46 is 8326.
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 46?
First, calculate the GCD of 181 and 46 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 46 = 3 remainder 43 |
| 2 | 46 ÷ 43 = 1 remainder 3 |
| 3 | 43 ÷ 3 = 14 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 25 | 525 |
| 56 and 157 | 8792 |
| 14 and 119 | 238 |
| 79 and 110 | 8690 |
| 121 and 48 | 5808 |