Least Common Multiple (LCM) of 148 and 191
The least common multiple (LCM) of 148 and 191 is 28268.
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 148 and 191?
First, calculate the GCD of 148 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 191 = 0 remainder 148 |
| 2 | 191 ÷ 148 = 1 remainder 43 |
| 3 | 148 ÷ 43 = 3 remainder 19 |
| 4 | 43 ÷ 19 = 2 remainder 5 |
| 5 | 19 ÷ 5 = 3 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 52 | 4628 |
| 144 and 120 | 720 |
| 15 and 61 | 915 |
| 12 and 150 | 300 |
| 77 and 106 | 8162 |