Least Common Multiple (LCM) of 199 and 191
The least common multiple (LCM) of 199 and 191 is 38009.
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 199 and 191?
First, calculate the GCD of 199 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 199 ÷ 191 = 1 remainder 8 |
| 2 | 191 ÷ 8 = 23 remainder 7 |
| 3 | 8 ÷ 7 = 1 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 130 | 6630 |
| 156 and 118 | 9204 |
| 110 and 73 | 8030 |
| 167 and 93 | 15531 |
| 76 and 145 | 11020 |