Least Common Multiple (LCM) of 79 and 199
The least common multiple (LCM) of 79 and 199 is 15721.
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 199?
First, calculate the GCD of 79 and 199 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 199 = 0 remainder 79 |
| 2 | 199 ÷ 79 = 2 remainder 41 |
| 3 | 79 ÷ 41 = 1 remainder 38 |
| 4 | 41 ÷ 38 = 1 remainder 3 |
| 5 | 38 ÷ 3 = 12 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 86 and 67 | 5762 |
| 28 and 22 | 308 |
| 105 and 37 | 3885 |
| 125 and 42 | 5250 |
| 60 and 113 | 6780 |