Least Common Multiple (LCM) of 130 and 142
The least common multiple (LCM) of 130 and 142 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 130 and 142?
First, calculate the GCD of 130 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 142 = 0 remainder 130 |
| 2 | 142 ÷ 130 = 1 remainder 12 |
| 3 | 130 ÷ 12 = 10 remainder 10 |
| 4 | 12 ÷ 10 = 1 remainder 2 |
| 5 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 57 | 3135 |
| 109 and 96 | 10464 |
| 13 and 121 | 1573 |
| 31 and 38 | 1178 |
| 176 and 36 | 1584 |