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 |
|---|---|
| 200 and 97 | 19400 |
| 177 and 145 | 25665 |
| 43 and 120 | 5160 |
| 110 and 111 | 12210 |
| 71 and 15 | 1065 |