Least Common Multiple (LCM) of 149 and 191
The least common multiple (LCM) of 149 and 191 is 28459.
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 149 and 191?
First, calculate the GCD of 149 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 191 = 0 remainder 149 |
| 2 | 191 ÷ 149 = 1 remainder 42 |
| 3 | 149 ÷ 42 = 3 remainder 23 |
| 4 | 42 ÷ 23 = 1 remainder 19 |
| 5 | 23 ÷ 19 = 1 remainder 4 |
| 6 | 19 ÷ 4 = 4 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 13 | 1885 |
| 176 and 117 | 20592 |
| 90 and 175 | 3150 |
| 109 and 33 | 3597 |
| 197 and 107 | 21079 |