Least Common Multiple (LCM) of 79 and 191
The least common multiple (LCM) of 79 and 191 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 79 and 191?
First, calculate the GCD of 79 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 191 = 0 remainder 79 |
| 2 | 191 ÷ 79 = 2 remainder 33 |
| 3 | 79 ÷ 33 = 2 remainder 13 |
| 4 | 33 ÷ 13 = 2 remainder 7 |
| 5 | 13 ÷ 7 = 1 remainder 6 |
| 6 | 7 ÷ 6 = 1 remainder 1 |
| 7 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 96 | 11424 |
| 115 and 158 | 18170 |
| 174 and 122 | 10614 |
| 73 and 37 | 2701 |
| 88 and 159 | 13992 |