Least Common Multiple (LCM) of 97 and 90
The least common multiple (LCM) of 97 and 90 is 8730.
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 90?
First, calculate the GCD of 97 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 90 = 1 remainder 7 |
| 2 | 90 ÷ 7 = 12 remainder 6 |
| 3 | 7 ÷ 6 = 1 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 16 and 199 | 3184 |
| 198 and 144 | 1584 |
| 194 and 92 | 8924 |
| 82 and 172 | 7052 |
| 128 and 123 | 15744 |