Least Common Multiple (LCM) of 179 and 96
The least common multiple (LCM) of 179 and 96 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 179 and 96?
First, calculate the GCD of 179 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 96 = 1 remainder 83 |
| 2 | 96 ÷ 83 = 1 remainder 13 |
| 3 | 83 ÷ 13 = 6 remainder 5 |
| 4 | 13 ÷ 5 = 2 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 128 | 14976 |
| 175 and 98 | 2450 |
| 186 and 119 | 22134 |
| 175 and 148 | 25900 |
| 190 and 98 | 9310 |