Least Common Multiple (LCM) of 75 and 181
The least common multiple (LCM) of 75 and 181 is 13575.
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 75 and 181?
First, calculate the GCD of 75 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 75 ÷ 181 = 0 remainder 75 |
| 2 | 181 ÷ 75 = 2 remainder 31 |
| 3 | 75 ÷ 31 = 2 remainder 13 |
| 4 | 31 ÷ 13 = 2 remainder 5 |
| 5 | 13 ÷ 5 = 2 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 46 | 2668 |
| 85 and 114 | 9690 |
| 51 and 141 | 2397 |
| 118 and 185 | 21830 |
| 90 and 65 | 1170 |