Least Common Multiple (LCM) of 191 and 99
The least common multiple (LCM) of 191 and 99 is 18909.
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 99?
First, calculate the GCD of 191 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 99 = 1 remainder 92 |
| 2 | 99 ÷ 92 = 1 remainder 7 |
| 3 | 92 ÷ 7 = 13 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 137 | 14659 |
| 49 and 132 | 6468 |
| 146 and 159 | 23214 |
| 107 and 152 | 16264 |
| 51 and 59 | 3009 |