Least Common Multiple (LCM) of 174 and 192
The least common multiple (LCM) of 174 and 192 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 174 and 192?
First, calculate the GCD of 174 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 192 = 0 remainder 174 |
| 2 | 192 ÷ 174 = 1 remainder 18 |
| 3 | 174 ÷ 18 = 9 remainder 12 |
| 4 | 18 ÷ 12 = 1 remainder 6 |
| 5 | 12 ÷ 6 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 67 | 11524 |
| 37 and 189 | 6993 |
| 68 and 11 | 748 |
| 28 and 65 | 1820 |
| 132 and 64 | 2112 |