Least Common Multiple (LCM) of 179 and 195
The least common multiple (LCM) of 179 and 195 is 34905.
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 179 and 195?
First, calculate the GCD of 179 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 195 = 0 remainder 179 |
| 2 | 195 ÷ 179 = 1 remainder 16 |
| 3 | 179 ÷ 16 = 11 remainder 3 |
| 4 | 16 ÷ 3 = 5 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 97 and 30 | 2910 |
| 107 and 12 | 1284 |
| 90 and 42 | 630 |
| 21 and 94 | 1974 |
| 150 and 25 | 150 |