Least Common Multiple (LCM) of 140 and 143
The least common multiple (LCM) of 140 and 143 is 20020.
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 140 and 143?
First, calculate the GCD of 140 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 143 = 0 remainder 140 |
| 2 | 143 ÷ 140 = 1 remainder 3 |
| 3 | 140 ÷ 3 = 46 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 37 | 518 |
| 22 and 66 | 66 |
| 25 and 169 | 4225 |
| 82 and 42 | 1722 |
| 60 and 129 | 2580 |