Least Common Multiple (LCM) of 191 and 84
The least common multiple (LCM) of 191 and 84 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 191 and 84?
First, calculate the GCD of 191 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 84 = 2 remainder 23 |
| 2 | 84 ÷ 23 = 3 remainder 15 |
| 3 | 23 ÷ 15 = 1 remainder 8 |
| 4 | 15 ÷ 8 = 1 remainder 7 |
| 5 | 8 ÷ 7 = 1 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 126 | 1386 |
| 181 and 102 | 18462 |
| 104 and 12 | 312 |
| 158 and 153 | 24174 |
| 98 and 25 | 2450 |