Least Common Multiple (LCM) of 131 and 107
The least common multiple (LCM) of 131 and 107 is 14017.
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 107?
First, calculate the GCD of 131 and 107 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 107 = 1 remainder 24 |
| 2 | 107 ÷ 24 = 4 remainder 11 |
| 3 | 24 ÷ 11 = 2 remainder 2 |
| 4 | 11 ÷ 2 = 5 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 53 and 121 | 6413 |
| 159 and 30 | 1590 |
| 28 and 133 | 532 |
| 107 and 10 | 1070 |
| 194 and 161 | 31234 |