Least Common Multiple (LCM) of 191 and 79
The least common multiple (LCM) of 191 and 79 is 15089.
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 191 and 79?
First, calculate the GCD of 191 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 79 = 2 remainder 33 |
| 2 | 79 ÷ 33 = 2 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 |
|---|---|
| 134 and 105 | 14070 |
| 147 and 17 | 2499 |
| 138 and 164 | 11316 |
| 61 and 182 | 11102 |
| 22 and 14 | 154 |