Least Common Multiple (LCM) of 190 and 97
The least common multiple (LCM) of 190 and 97 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 190 and 97?
First, calculate the GCD of 190 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 97 = 1 remainder 93 |
| 2 | 97 ÷ 93 = 1 remainder 4 |
| 3 | 93 ÷ 4 = 23 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 77 | 770 |
| 170 and 91 | 15470 |
| 167 and 67 | 11189 |
| 199 and 109 | 21691 |
| 120 and 129 | 5160 |