Least Common Multiple (LCM) of 79 and 17
The least common multiple (LCM) of 79 and 17 is 1343.
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 17?
First, calculate the GCD of 79 and 17 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 17 = 4 remainder 11 |
| 2 | 17 ÷ 11 = 1 remainder 6 |
| 3 | 11 ÷ 6 = 1 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 26 | 1326 |
| 51 and 158 | 8058 |
| 17 and 186 | 3162 |
| 21 and 148 | 3108 |
| 178 and 164 | 14596 |