Least Common Multiple (LCM) of 143 and 172
The least common multiple (LCM) of 143 and 172 is 24596.
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 172?
First, calculate the GCD of 143 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 172 = 0 remainder 143 |
| 2 | 172 ÷ 143 = 1 remainder 29 |
| 3 | 143 ÷ 29 = 4 remainder 27 |
| 4 | 29 ÷ 27 = 1 remainder 2 |
| 5 | 27 ÷ 2 = 13 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 135 | 19710 |
| 63 and 44 | 2772 |
| 172 and 172 | 172 |
| 183 and 54 | 3294 |
| 198 and 103 | 20394 |