Least Common Multiple (LCM) of 190 and 176
The least common multiple (LCM) of 190 and 176 is 16720.
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 176?
First, calculate the GCD of 190 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 176 = 1 remainder 14 |
| 2 | 176 ÷ 14 = 12 remainder 8 |
| 3 | 14 ÷ 8 = 1 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 131 | 10087 |
| 146 and 101 | 14746 |
| 80 and 33 | 2640 |
| 11 and 16 | 176 |
| 144 and 81 | 1296 |