Least Common Multiple (LCM) of 179 and 53
The least common multiple (LCM) of 179 and 53 is 9487.
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 53?
First, calculate the GCD of 179 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 53 = 3 remainder 20 |
| 2 | 53 ÷ 20 = 2 remainder 13 |
| 3 | 20 ÷ 13 = 1 remainder 7 |
| 4 | 13 ÷ 7 = 1 remainder 6 |
| 5 | 7 ÷ 6 = 1 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 95 and 168 | 15960 |
| 172 and 46 | 3956 |
| 128 and 66 | 4224 |
| 101 and 78 | 7878 |
| 122 and 136 | 8296 |