Least Common Multiple (LCM) of 31 and 181
The least common multiple (LCM) of 31 and 181 is 5611.
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 31 and 181?
First, calculate the GCD of 31 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 31 ÷ 181 = 0 remainder 31 |
| 2 | 181 ÷ 31 = 5 remainder 26 |
| 3 | 31 ÷ 26 = 1 remainder 5 |
| 4 | 26 ÷ 5 = 5 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 72 | 504 |
| 198 and 96 | 3168 |
| 129 and 35 | 4515 |
| 43 and 95 | 4085 |
| 143 and 75 | 10725 |