Least Common Multiple (LCM) of 52 and 181
The least common multiple (LCM) of 52 and 181 is 9412.
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 52 and 181?
First, calculate the GCD of 52 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 52 ÷ 181 = 0 remainder 52 |
| 2 | 181 ÷ 52 = 3 remainder 25 |
| 3 | 52 ÷ 25 = 2 remainder 2 |
| 4 | 25 ÷ 2 = 12 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 75 | 2550 |
| 153 and 162 | 2754 |
| 16 and 140 | 560 |
| 135 and 181 | 24435 |
| 181 and 135 | 24435 |