Least Common Multiple (LCM) of 192 and 174
The least common multiple (LCM) of 192 and 174 is 5568.
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 192 and 174?
First, calculate the GCD of 192 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 174 = 1 remainder 18 |
| 2 | 174 ÷ 18 = 9 remainder 12 |
| 3 | 18 ÷ 12 = 1 remainder 6 |
| 4 | 12 ÷ 6 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 196 | 196 |
| 31 and 13 | 403 |
| 41 and 151 | 6191 |
| 110 and 67 | 7370 |
| 195 and 97 | 18915 |