Least Common Multiple (LCM) of 176 and 194
The least common multiple (LCM) of 176 and 194 is 17072.
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 194?
First, calculate the GCD of 176 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 194 = 0 remainder 176 |
| 2 | 194 ÷ 176 = 1 remainder 18 |
| 3 | 176 ÷ 18 = 9 remainder 14 |
| 4 | 18 ÷ 14 = 1 remainder 4 |
| 5 | 14 ÷ 4 = 3 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 97 and 103 | 9991 |
| 10 and 181 | 1810 |
| 73 and 65 | 4745 |
| 154 and 175 | 3850 |
| 71 and 200 | 14200 |