Least Common Multiple (LCM) of 176 and 190
The least common multiple (LCM) of 176 and 190 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 176 and 190?
First, calculate the GCD of 176 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 190 = 0 remainder 176 |
| 2 | 190 ÷ 176 = 1 remainder 14 |
| 3 | 176 ÷ 14 = 12 remainder 8 |
| 4 | 14 ÷ 8 = 1 remainder 6 |
| 5 | 8 ÷ 6 = 1 remainder 2 |
| 6 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 29 | 5162 |
| 68 and 77 | 5236 |
| 158 and 11 | 1738 |
| 49 and 67 | 3283 |
| 37 and 98 | 3626 |