Least Common Multiple (LCM) of 143 and 43
The least common multiple (LCM) of 143 and 43 is 6149.
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 43?
First, calculate the GCD of 143 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 43 = 3 remainder 14 |
| 2 | 43 ÷ 14 = 3 remainder 1 |
| 3 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 106 | 9964 |
| 11 and 23 | 253 |
| 100 and 110 | 1100 |
| 197 and 193 | 38021 |
| 52 and 17 | 884 |