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 |
|---|---|
| 45 and 179 | 8055 |
| 199 and 154 | 30646 |
| 73 and 146 | 146 |
| 171 and 119 | 20349 |
| 123 and 71 | 8733 |