Least Common Multiple (LCM) of 191 and 170
The least common multiple (LCM) of 191 and 170 is 32470.
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 170?
First, calculate the GCD of 191 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 170 = 1 remainder 21 |
| 2 | 170 ÷ 21 = 8 remainder 2 |
| 3 | 21 ÷ 2 = 10 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 47 | 1692 |
| 69 and 148 | 10212 |
| 125 and 24 | 3000 |
| 131 and 66 | 8646 |
| 142 and 172 | 12212 |