Least Common Multiple (LCM) of 179 and 47
The least common multiple (LCM) of 179 and 47 is 8413.
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 47?
First, calculate the GCD of 179 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 47 = 3 remainder 38 |
| 2 | 47 ÷ 38 = 1 remainder 9 |
| 3 | 38 ÷ 9 = 4 remainder 2 |
| 4 | 9 ÷ 2 = 4 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 84 | 1932 |
| 177 and 60 | 3540 |
| 146 and 118 | 8614 |
| 111 and 23 | 2553 |
| 65 and 109 | 7085 |