Least Common Multiple (LCM) of 96 and 179
The least common multiple (LCM) of 96 and 179 is 17184.
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 96 and 179?
First, calculate the GCD of 96 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 96 ÷ 179 = 0 remainder 96 |
| 2 | 179 ÷ 96 = 1 remainder 83 |
| 3 | 96 ÷ 83 = 1 remainder 13 |
| 4 | 83 ÷ 13 = 6 remainder 5 |
| 5 | 13 ÷ 5 = 2 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 62 and 188 | 5828 |
| 57 and 28 | 1596 |
| 97 and 33 | 3201 |
| 71 and 171 | 12141 |
| 120 and 113 | 13560 |