Least Common Multiple (LCM) of 131 and 137
The least common multiple (LCM) of 131 and 137 is 17947.
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 131 and 137?
First, calculate the GCD of 131 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 137 = 0 remainder 131 |
| 2 | 137 ÷ 131 = 1 remainder 6 |
| 3 | 131 ÷ 6 = 21 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 65 | 2600 |
| 163 and 41 | 6683 |
| 43 and 75 | 3225 |
| 38 and 97 | 3686 |
| 196 and 79 | 15484 |