Least Common Multiple (LCM) of 181 and 31
The least common multiple (LCM) of 181 and 31 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 181 and 31?
First, calculate the GCD of 181 and 31 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 31 = 5 remainder 26 |
| 2 | 31 ÷ 26 = 1 remainder 5 |
| 3 | 26 ÷ 5 = 5 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 82 and 106 | 4346 |
| 136 and 115 | 15640 |
| 194 and 67 | 12998 |
| 112 and 74 | 4144 |
| 154 and 135 | 20790 |