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 |
|---|---|
| 52 and 80 | 1040 |
| 98 and 147 | 294 |
| 65 and 19 | 1235 |
| 197 and 41 | 8077 |
| 129 and 36 | 1548 |