Least Common Multiple (LCM) of 197 and 90
The least common multiple (LCM) of 197 and 90 is 17730.
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 197 and 90?
First, calculate the GCD of 197 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 90 = 2 remainder 17 |
| 2 | 90 ÷ 17 = 5 remainder 5 |
| 3 | 17 ÷ 5 = 3 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 35 | 6755 |
| 61 and 99 | 6039 |
| 88 and 30 | 1320 |
| 62 and 22 | 682 |
| 53 and 116 | 6148 |