Least Common Multiple (LCM) of 28 and 143
The least common multiple (LCM) of 28 and 143 is 4004.
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 28 and 143?
First, calculate the GCD of 28 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 28 ÷ 143 = 0 remainder 28 |
| 2 | 143 ÷ 28 = 5 remainder 3 |
| 3 | 28 ÷ 3 = 9 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 58 | 5162 |
| 104 and 149 | 15496 |
| 65 and 112 | 7280 |
| 190 and 69 | 13110 |
| 83 and 163 | 13529 |