Least Common Multiple (LCM) of 176 and 175
The least common multiple (LCM) of 176 and 175 is 30800.
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 175?
First, calculate the GCD of 176 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 175 = 1 remainder 1 |
| 2 | 175 ÷ 1 = 175 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 189 | 11151 |
| 138 and 39 | 1794 |
| 30 and 78 | 390 |
| 157 and 44 | 6908 |
| 68 and 32 | 544 |