Least Common Multiple (LCM) of 174 and 96
The least common multiple (LCM) of 174 and 96 is 2784.
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 96?
First, calculate the GCD of 174 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 96 = 1 remainder 78 |
| 2 | 96 ÷ 78 = 1 remainder 18 |
| 3 | 78 ÷ 18 = 4 remainder 6 |
| 4 | 18 ÷ 6 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 44 | 1716 |
| 195 and 164 | 31980 |
| 158 and 48 | 3792 |
| 19 and 38 | 38 |
| 163 and 64 | 10432 |