Least Common Multiple (LCM) of 131 and 106
The least common multiple (LCM) of 131 and 106 is 13886.
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 106?
First, calculate the GCD of 131 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 106 = 1 remainder 25 |
| 2 | 106 ÷ 25 = 4 remainder 6 |
| 3 | 25 ÷ 6 = 4 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 171 | 5301 |
| 93 and 72 | 2232 |
| 171 and 148 | 25308 |
| 121 and 74 | 8954 |
| 81 and 71 | 5751 |