Least Common Multiple (LCM) of 104 and 143
The least common multiple (LCM) of 104 and 143 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 104 and 143?
First, calculate the GCD of 104 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 143 = 0 remainder 104 |
| 2 | 143 ÷ 104 = 1 remainder 39 |
| 3 | 104 ÷ 39 = 2 remainder 26 |
| 4 | 39 ÷ 26 = 1 remainder 13 |
| 5 | 26 ÷ 13 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 36 | 396 |
| 107 and 50 | 5350 |
| 105 and 13 | 1365 |
| 85 and 137 | 11645 |
| 85 and 134 | 11390 |