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 |
|---|---|
| 104 and 135 | 14040 |
| 53 and 138 | 7314 |
| 29 and 163 | 4727 |
| 98 and 111 | 10878 |
| 123 and 149 | 18327 |