Least Common Multiple (LCM) of 143 and 184
The least common multiple (LCM) of 143 and 184 is 26312.
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 184?
First, calculate the GCD of 143 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 184 = 0 remainder 143 |
| 2 | 184 ÷ 143 = 1 remainder 41 |
| 3 | 143 ÷ 41 = 3 remainder 20 |
| 4 | 41 ÷ 20 = 2 remainder 1 |
| 5 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 72 | 504 |
| 17 and 10 | 170 |
| 186 and 170 | 15810 |
| 20 and 77 | 1540 |
| 38 and 95 | 190 |