Least Common Multiple (LCM) of 179 and 104
The least common multiple (LCM) of 179 and 104 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 179 and 104?
First, calculate the GCD of 179 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 104 = 1 remainder 75 |
| 2 | 104 ÷ 75 = 1 remainder 29 |
| 3 | 75 ÷ 29 = 2 remainder 17 |
| 4 | 29 ÷ 17 = 1 remainder 12 |
| 5 | 17 ÷ 12 = 1 remainder 5 |
| 6 | 12 ÷ 5 = 2 remainder 2 |
| 7 | 5 ÷ 2 = 2 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 95 | 11590 |
| 145 and 177 | 25665 |
| 198 and 136 | 13464 |
| 181 and 76 | 13756 |
| 107 and 30 | 3210 |