Least Common Multiple (LCM) of 142 and 131
The least common multiple (LCM) of 142 and 131 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 142 and 131?
First, calculate the GCD of 142 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 131 = 1 remainder 11 |
| 2 | 131 ÷ 11 = 11 remainder 10 |
| 3 | 11 ÷ 10 = 1 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 119 | 8925 |
| 41 and 99 | 4059 |
| 114 and 189 | 7182 |
| 49 and 143 | 7007 |
| 122 and 137 | 16714 |