Least Common Multiple (LCM) of 174 and 175
The least common multiple (LCM) of 174 and 175 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 174 and 175?
First, calculate the GCD of 174 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 175 = 0 remainder 174 |
| 2 | 175 ÷ 174 = 1 remainder 1 |
| 3 | 174 ÷ 1 = 174 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 70 | 8610 |
| 135 and 23 | 3105 |
| 91 and 182 | 182 |
| 13 and 127 | 1651 |
| 153 and 15 | 765 |