Least Common Multiple (LCM) of 179 and 58
The least common multiple (LCM) of 179 and 58 is 10382.
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 58?
First, calculate the GCD of 179 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 58 = 3 remainder 5 |
| 2 | 58 ÷ 5 = 11 remainder 3 |
| 3 | 5 ÷ 3 = 1 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 35 and 171 | 5985 |
| 160 and 101 | 16160 |
| 178 and 169 | 30082 |
| 43 and 17 | 731 |
| 104 and 171 | 17784 |