Least Common Multiple (LCM) of 104 and 79
The least common multiple (LCM) of 104 and 79 is 8216.
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 104 and 79?
First, calculate the GCD of 104 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 79 = 1 remainder 25 |
| 2 | 79 ÷ 25 = 3 remainder 4 |
| 3 | 25 ÷ 4 = 6 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 84 | 3444 |
| 36 and 57 | 684 |
| 121 and 80 | 9680 |
| 42 and 177 | 2478 |
| 42 and 173 | 7266 |