Least Common Multiple (LCM) of 149 and 190
The least common multiple (LCM) of 149 and 190 is 28310.
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 190?
First, calculate the GCD of 149 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 190 = 0 remainder 149 |
| 2 | 190 ÷ 149 = 1 remainder 41 |
| 3 | 149 ÷ 41 = 3 remainder 26 |
| 4 | 41 ÷ 26 = 1 remainder 15 |
| 5 | 26 ÷ 15 = 1 remainder 11 |
| 6 | 15 ÷ 11 = 1 remainder 4 |
| 7 | 11 ÷ 4 = 2 remainder 3 |
| 8 | 4 ÷ 3 = 1 remainder 1 |
| 9 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 41 and 99 | 4059 |
| 63 and 199 | 12537 |
| 116 and 149 | 17284 |
| 154 and 51 | 7854 |
| 117 and 48 | 1872 |