Least Common Multiple (LCM) of 143 and 168
The least common multiple (LCM) of 143 and 168 is 24024.
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 168?
First, calculate the GCD of 143 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 168 = 0 remainder 143 |
| 2 | 168 ÷ 143 = 1 remainder 25 |
| 3 | 143 ÷ 25 = 5 remainder 18 |
| 4 | 25 ÷ 18 = 1 remainder 7 |
| 5 | 18 ÷ 7 = 2 remainder 4 |
| 6 | 7 ÷ 4 = 1 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 22 and 36 | 396 |
| 81 and 120 | 3240 |
| 39 and 25 | 975 |
| 168 and 31 | 5208 |
| 188 and 77 | 14476 |