Least Common Multiple (LCM) of 19 and 92
The least common multiple (LCM) of 19 and 92 is 1748.
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 19 and 92?
First, calculate the GCD of 19 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 19 ÷ 92 = 0 remainder 19 |
| 2 | 92 ÷ 19 = 4 remainder 16 |
| 3 | 19 ÷ 16 = 1 remainder 3 |
| 4 | 16 ÷ 3 = 5 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 82 | 7872 |
| 196 and 40 | 1960 |
| 196 and 106 | 10388 |
| 167 and 12 | 2004 |
| 180 and 39 | 2340 |