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 |
|---|---|
| 65 and 155 | 2015 |
| 134 and 166 | 11122 |
| 148 and 170 | 12580 |
| 161 and 31 | 4991 |
| 114 and 67 | 7638 |