Least Common Multiple (LCM) of 46 and 131
The least common multiple (LCM) of 46 and 131 is 6026.
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 46 and 131?
First, calculate the GCD of 46 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 46 ÷ 131 = 0 remainder 46 |
| 2 | 131 ÷ 46 = 2 remainder 39 |
| 3 | 46 ÷ 39 = 1 remainder 7 |
| 4 | 39 ÷ 7 = 5 remainder 4 |
| 5 | 7 ÷ 4 = 1 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 67 | 8576 |
| 180 and 154 | 13860 |
| 158 and 176 | 13904 |
| 11 and 77 | 77 |
| 172 and 34 | 2924 |