Least Common Multiple (LCM) of 143 and 130
The least common multiple (LCM) of 143 and 130 is 1430.
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 143 and 130?
First, calculate the GCD of 143 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 130 = 1 remainder 13 |
| 2 | 130 ÷ 13 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 75 | 1050 |
| 122 and 127 | 15494 |
| 47 and 75 | 3525 |
| 119 and 112 | 1904 |
| 58 and 157 | 9106 |