Least Common Multiple (LCM) of 97 and 190
The least common multiple (LCM) of 97 and 190 is 18430.
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 190?
First, calculate the GCD of 97 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 190 = 0 remainder 97 |
| 2 | 190 ÷ 97 = 1 remainder 93 |
| 3 | 97 ÷ 93 = 1 remainder 4 |
| 4 | 93 ÷ 4 = 23 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 119 | 14280 |
| 157 and 78 | 12246 |
| 133 and 65 | 8645 |
| 21 and 200 | 4200 |
| 133 and 158 | 21014 |