Least Common Multiple (LCM) of 176 and 174
The least common multiple (LCM) of 176 and 174 is 15312.
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 176 and 174?
First, calculate the GCD of 176 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 174 = 1 remainder 2 |
| 2 | 174 ÷ 2 = 87 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 89 | 10146 |
| 22 and 97 | 2134 |
| 144 and 12 | 144 |
| 166 and 43 | 7138 |
| 182 and 97 | 17654 |