Least Common Multiple (LCM) of 172 and 181
The least common multiple (LCM) of 172 and 181 is 31132.
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 172 and 181?
First, calculate the GCD of 172 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 181 = 0 remainder 172 |
| 2 | 181 ÷ 172 = 1 remainder 9 |
| 3 | 172 ÷ 9 = 19 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 177 | 4071 |
| 76 and 40 | 760 |
| 179 and 87 | 15573 |
| 138 and 168 | 3864 |
| 40 and 18 | 360 |