Least Common Multiple (LCM) of 79 and 104
The least common multiple (LCM) of 79 and 104 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 79 and 104?
First, calculate the GCD of 79 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 104 = 0 remainder 79 |
| 2 | 104 ÷ 79 = 1 remainder 25 |
| 3 | 79 ÷ 25 = 3 remainder 4 |
| 4 | 25 ÷ 4 = 6 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 70 and 91 | 910 |
| 188 and 42 | 3948 |
| 163 and 81 | 13203 |
| 179 and 27 | 4833 |
| 62 and 168 | 5208 |