Least Common Multiple (LCM) of 144 and 97
The least common multiple (LCM) of 144 and 97 is 13968.
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 144 and 97?
First, calculate the GCD of 144 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 97 = 1 remainder 47 |
| 2 | 97 ÷ 47 = 2 remainder 3 |
| 3 | 47 ÷ 3 = 15 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 66 | 1122 |
| 88 and 71 | 6248 |
| 189 and 65 | 12285 |
| 175 and 16 | 2800 |
| 101 and 41 | 4141 |