Least Common Multiple (LCM) of 178 and 175
The least common multiple (LCM) of 178 and 175 is 31150.
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 178 and 175?
First, calculate the GCD of 178 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 175 = 1 remainder 3 |
| 2 | 175 ÷ 3 = 58 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 133 | 1995 |
| 174 and 58 | 174 |
| 31 and 13 | 403 |
| 102 and 186 | 3162 |
| 94 and 48 | 2256 |