Least Common Multiple (LCM) of 131 and 79
The least common multiple (LCM) of 131 and 79 is 10349.
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 79?
First, calculate the GCD of 131 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 79 = 1 remainder 52 |
| 2 | 79 ÷ 52 = 1 remainder 27 |
| 3 | 52 ÷ 27 = 1 remainder 25 |
| 4 | 27 ÷ 25 = 1 remainder 2 |
| 5 | 25 ÷ 2 = 12 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 156 | 27300 |
| 159 and 111 | 5883 |
| 102 and 39 | 1326 |
| 162 and 114 | 3078 |
| 172 and 130 | 11180 |