Least Common Multiple (LCM) of 97 and 39
The least common multiple (LCM) of 97 and 39 is 3783.
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 97 and 39?
First, calculate the GCD of 97 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 39 = 2 remainder 19 |
| 2 | 39 ÷ 19 = 2 remainder 1 |
| 3 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 195 | 390 |
| 78 and 36 | 468 |
| 186 and 141 | 8742 |
| 80 and 144 | 720 |
| 114 and 71 | 8094 |