Least Common Multiple (LCM) of 142 and 143
The least common multiple (LCM) of 142 and 143 is 20306.
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 143?
First, calculate the GCD of 142 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 143 = 0 remainder 142 |
| 2 | 143 ÷ 142 = 1 remainder 1 |
| 3 | 142 ÷ 1 = 142 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 144 | 7632 |
| 50 and 29 | 1450 |
| 20 and 29 | 580 |
| 19 and 132 | 2508 |
| 186 and 40 | 3720 |