Least Common Multiple (LCM) of 142 and 130
The least common multiple (LCM) of 142 and 130 is 9230.
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 130?
First, calculate the GCD of 142 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 130 = 1 remainder 12 |
| 2 | 130 ÷ 12 = 10 remainder 10 |
| 3 | 12 ÷ 10 = 1 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 39 and 46 | 1794 |
| 128 and 85 | 10880 |
| 168 and 197 | 33096 |
| 138 and 97 | 13386 |
| 67 and 99 | 6633 |