Least Common Multiple (LCM) of 131 and 196
The least common multiple (LCM) of 131 and 196 is 25676.
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 196?
First, calculate the GCD of 131 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 196 = 0 remainder 131 |
| 2 | 196 ÷ 131 = 1 remainder 65 |
| 3 | 131 ÷ 65 = 2 remainder 1 |
| 4 | 65 ÷ 1 = 65 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 156 and 37 | 5772 |
| 134 and 129 | 17286 |
| 68 and 159 | 10812 |
| 181 and 64 | 11584 |
| 36 and 101 | 3636 |