Least Common Multiple (LCM) of 175 and 176
The least common multiple (LCM) of 175 and 176 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 175 and 176?
First, calculate the GCD of 175 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 176 = 0 remainder 175 |
| 2 | 176 ÷ 175 = 1 remainder 1 |
| 3 | 175 ÷ 1 = 175 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 22 and 187 | 374 |
| 117 and 32 | 3744 |
| 147 and 34 | 4998 |
| 132 and 91 | 12012 |
| 85 and 171 | 14535 |