Least Common Multiple (LCM) of 79 and 58
The least common multiple (LCM) of 79 and 58 is 4582.
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 79 and 58?
First, calculate the GCD of 79 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 58 = 1 remainder 21 |
| 2 | 58 ÷ 21 = 2 remainder 16 |
| 3 | 21 ÷ 16 = 1 remainder 5 |
| 4 | 16 ÷ 5 = 3 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 112 | 18480 |
| 192 and 50 | 4800 |
| 133 and 31 | 4123 |
| 174 and 142 | 12354 |
| 41 and 185 | 7585 |