Least Common Multiple (LCM) of 84 and 191
The least common multiple (LCM) of 84 and 191 is 16044.
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 84 and 191?
First, calculate the GCD of 84 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 84 ÷ 191 = 0 remainder 84 |
| 2 | 191 ÷ 84 = 2 remainder 23 |
| 3 | 84 ÷ 23 = 3 remainder 15 |
| 4 | 23 ÷ 15 = 1 remainder 8 |
| 5 | 15 ÷ 8 = 1 remainder 7 |
| 6 | 8 ÷ 7 = 1 remainder 1 |
| 7 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 21 | 3003 |
| 44 and 184 | 2024 |
| 108 and 26 | 1404 |
| 191 and 29 | 5539 |
| 95 and 33 | 3135 |