Least Common Multiple (LCM) of 131 and 142
The least common multiple (LCM) of 131 and 142 is 18602.
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 142?
First, calculate the GCD of 131 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 142 = 0 remainder 131 |
| 2 | 142 ÷ 131 = 1 remainder 11 |
| 3 | 131 ÷ 11 = 11 remainder 10 |
| 4 | 11 ÷ 10 = 1 remainder 1 |
| 5 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 195 | 23010 |
| 118 and 191 | 22538 |
| 49 and 157 | 7693 |
| 43 and 58 | 2494 |
| 25 and 149 | 3725 |