Least Common Multiple (LCM) of 191 and 180
The least common multiple (LCM) of 191 and 180 is 34380.
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 180?
First, calculate the GCD of 191 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 180 = 1 remainder 11 |
| 2 | 180 ÷ 11 = 16 remainder 4 |
| 3 | 11 ÷ 4 = 2 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 166 | 25066 |
| 135 and 13 | 1755 |
| 49 and 120 | 5880 |
| 36 and 43 | 1548 |
| 75 and 78 | 1950 |