Least Common Multiple (LCM) of 168 and 143
The least common multiple (LCM) of 168 and 143 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 168 and 143?
First, calculate the GCD of 168 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 143 = 1 remainder 25 |
| 2 | 143 ÷ 25 = 5 remainder 18 |
| 3 | 25 ÷ 18 = 1 remainder 7 |
| 4 | 18 ÷ 7 = 2 remainder 4 |
| 5 | 7 ÷ 4 = 1 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 39 and 178 | 6942 |
| 179 and 117 | 20943 |
| 99 and 31 | 3069 |
| 91 and 133 | 1729 |
| 109 and 21 | 2289 |