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 |
|---|---|
| 64 and 100 | 1600 |
| 95 and 130 | 2470 |
| 45 and 93 | 1395 |
| 159 and 68 | 10812 |
| 189 and 30 | 1890 |