Least Common Multiple (LCM) of 143 and 97
The least common multiple (LCM) of 143 and 97 is 13871.
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 97?
First, calculate the GCD of 143 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 97 = 1 remainder 46 |
| 2 | 97 ÷ 46 = 2 remainder 5 |
| 3 | 46 ÷ 5 = 9 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 20 | 180 |
| 183 and 179 | 32757 |
| 110 and 52 | 2860 |
| 21 and 195 | 1365 |
| 83 and 179 | 14857 |