Least Common Multiple (LCM) of 79 and 46
The least common multiple (LCM) of 79 and 46 is 3634.
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 46?
First, calculate the GCD of 79 and 46 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 46 = 1 remainder 33 |
| 2 | 46 ÷ 33 = 1 remainder 13 |
| 3 | 33 ÷ 13 = 2 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 |
|---|---|
| 85 and 107 | 9095 |
| 100 and 18 | 900 |
| 164 and 163 | 26732 |
| 66 and 20 | 660 |
| 53 and 142 | 7526 |