Least Common Multiple (LCM) of 131 and 29
The least common multiple (LCM) of 131 and 29 is 3799.
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 29?
First, calculate the GCD of 131 and 29 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 29 = 4 remainder 15 |
| 2 | 29 ÷ 15 = 1 remainder 14 |
| 3 | 15 ÷ 14 = 1 remainder 1 |
| 4 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 130 | 1820 |
| 25 and 128 | 3200 |
| 161 and 176 | 28336 |
| 188 and 179 | 33652 |
| 114 and 133 | 798 |