Least Common Multiple (LCM) of 175 and 164
The least common multiple (LCM) of 175 and 164 is 28700.
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 164?
First, calculate the GCD of 175 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 164 = 1 remainder 11 |
| 2 | 164 ÷ 11 = 14 remainder 10 |
| 3 | 11 ÷ 10 = 1 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 97 | 7566 |
| 75 and 125 | 375 |
| 117 and 200 | 23400 |
| 69 and 135 | 3105 |
| 39 and 166 | 6474 |