Least Common Multiple (LCM) of 175 and 174
The least common multiple (LCM) of 175 and 174 is 30450.
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 174?
First, calculate the GCD of 175 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 174 = 1 remainder 1 |
| 2 | 174 ÷ 1 = 174 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 53 | 1643 |
| 116 and 110 | 6380 |
| 117 and 197 | 23049 |
| 196 and 116 | 5684 |
| 32 and 113 | 3616 |