Least Common Multiple (LCM) of 104 and 179
The least common multiple (LCM) of 104 and 179 is 18616.
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 104 and 179?
First, calculate the GCD of 104 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 179 = 0 remainder 104 |
| 2 | 179 ÷ 104 = 1 remainder 75 |
| 3 | 104 ÷ 75 = 1 remainder 29 |
| 4 | 75 ÷ 29 = 2 remainder 17 |
| 5 | 29 ÷ 17 = 1 remainder 12 |
| 6 | 17 ÷ 12 = 1 remainder 5 |
| 7 | 12 ÷ 5 = 2 remainder 2 |
| 8 | 5 ÷ 2 = 2 remainder 1 |
| 9 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 170 | 12410 |
| 30 and 50 | 150 |
| 191 and 123 | 23493 |
| 104 and 104 | 104 |
| 111 and 145 | 16095 |