Least Common Multiple (LCM) of 143 and 104
The least common multiple (LCM) of 143 and 104 is 1144.
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 104?
First, calculate the GCD of 143 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 104 = 1 remainder 39 |
| 2 | 104 ÷ 39 = 2 remainder 26 |
| 3 | 39 ÷ 26 = 1 remainder 13 |
| 4 | 26 ÷ 13 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 90 | 5760 |
| 191 and 177 | 33807 |
| 181 and 156 | 28236 |
| 85 and 31 | 2635 |
| 69 and 77 | 5313 |