Least Common Multiple (LCM) of 97 and 93
The least common multiple (LCM) of 97 and 93 is 9021.
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 93?
First, calculate the GCD of 97 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 93 = 1 remainder 4 |
| 2 | 93 ÷ 4 = 23 remainder 1 |
| 3 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 171 | 3591 |
| 22 and 122 | 1342 |
| 19 and 34 | 646 |
| 186 and 63 | 3906 |
| 77 and 135 | 10395 |