Least Common Multiple (LCM) of 97 and 32
The least common multiple (LCM) of 97 and 32 is 3104.
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 32?
First, calculate the GCD of 97 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 32 = 3 remainder 1 |
| 2 | 32 ÷ 1 = 32 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 96 | 19104 |
| 124 and 78 | 4836 |
| 195 and 65 | 195 |
| 173 and 14 | 2422 |
| 155 and 39 | 6045 |