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 |
|---|---|
| 149 and 55 | 8195 |
| 133 and 93 | 12369 |
| 127 and 88 | 11176 |
| 183 and 30 | 1830 |
| 79 and 149 | 11771 |