Least Common Multiple (LCM) of 95 and 179
The least common multiple (LCM) of 95 and 179 is 17005.
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 95 and 179?
First, calculate the GCD of 95 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 179 = 0 remainder 95 |
| 2 | 179 ÷ 95 = 1 remainder 84 |
| 3 | 95 ÷ 84 = 1 remainder 11 |
| 4 | 84 ÷ 11 = 7 remainder 7 |
| 5 | 11 ÷ 7 = 1 remainder 4 |
| 6 | 7 ÷ 4 = 1 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 185 | 6105 |
| 160 and 45 | 1440 |
| 141 and 32 | 4512 |
| 15 and 101 | 1515 |
| 177 and 43 | 7611 |