Least Common Multiple (LCM) of 79 and 190
The least common multiple (LCM) of 79 and 190 is 15010.
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 190?
First, calculate the GCD of 79 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 190 = 0 remainder 79 |
| 2 | 190 ÷ 79 = 2 remainder 32 |
| 3 | 79 ÷ 32 = 2 remainder 15 |
| 4 | 32 ÷ 15 = 2 remainder 2 |
| 5 | 15 ÷ 2 = 7 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 147 | 24990 |
| 199 and 81 | 16119 |
| 17 and 49 | 833 |
| 156 and 84 | 1092 |
| 47 and 139 | 6533 |