Least Common Multiple (LCM) of 79 and 192
The least common multiple (LCM) of 79 and 192 is 15168.
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 192?
First, calculate the GCD of 79 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 192 = 0 remainder 79 |
| 2 | 192 ÷ 79 = 2 remainder 34 |
| 3 | 79 ÷ 34 = 2 remainder 11 |
| 4 | 34 ÷ 11 = 3 remainder 1 |
| 5 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 185 | 23865 |
| 119 and 102 | 714 |
| 50 and 80 | 400 |
| 80 and 109 | 8720 |
| 129 and 40 | 5160 |