Least Common Multiple (LCM) of 12 and 143
The least common multiple (LCM) of 12 and 143 is 1716.
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 12 and 143?
First, calculate the GCD of 12 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 12 ÷ 143 = 0 remainder 12 |
| 2 | 143 ÷ 12 = 11 remainder 11 |
| 3 | 12 ÷ 11 = 1 remainder 1 |
| 4 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 76 | 14516 |
| 104 and 196 | 5096 |
| 131 and 120 | 15720 |
| 142 and 172 | 12212 |
| 196 and 150 | 14700 |