Least Common Multiple (LCM) of 195 and 176
The least common multiple (LCM) of 195 and 176 is 34320.
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 195 and 176?
First, calculate the GCD of 195 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 176 = 1 remainder 19 |
| 2 | 176 ÷ 19 = 9 remainder 5 |
| 3 | 19 ÷ 5 = 3 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 155 and 51 | 7905 |
| 134 and 173 | 23182 |
| 138 and 134 | 9246 |
| 34 and 189 | 6426 |
| 174 and 192 | 5568 |