Least Common Multiple (LCM) of 48 and 181
The least common multiple (LCM) of 48 and 181 is 8688.
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 48 and 181?
First, calculate the GCD of 48 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 48 ÷ 181 = 0 remainder 48 |
| 2 | 181 ÷ 48 = 3 remainder 37 |
| 3 | 48 ÷ 37 = 1 remainder 11 |
| 4 | 37 ÷ 11 = 3 remainder 4 |
| 5 | 11 ÷ 4 = 2 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 11 | 1287 |
| 60 and 67 | 4020 |
| 181 and 194 | 35114 |
| 10 and 120 | 120 |
| 34 and 74 | 1258 |