Least Common Multiple (LCM) of 143 and 175
The least common multiple (LCM) of 143 and 175 is 25025.
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 175?
First, calculate the GCD of 143 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 175 = 0 remainder 143 |
| 2 | 175 ÷ 143 = 1 remainder 32 |
| 3 | 143 ÷ 32 = 4 remainder 15 |
| 4 | 32 ÷ 15 = 2 remainder 2 |
| 5 | 15 ÷ 2 = 7 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 39 and 100 | 3900 |
| 36 and 200 | 1800 |
| 101 and 172 | 17372 |
| 181 and 43 | 7783 |
| 173 and 56 | 9688 |