Least Common Multiple (LCM) of 191 and 172
The least common multiple (LCM) of 191 and 172 is 32852.
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 191 and 172?
First, calculate the GCD of 191 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 172 = 1 remainder 19 |
| 2 | 172 ÷ 19 = 9 remainder 1 |
| 3 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 18 | 378 |
| 144 and 109 | 15696 |
| 12 and 73 | 876 |
| 172 and 41 | 7052 |
| 83 and 10 | 830 |