Least Common Multiple (LCM) of 175 and 28
The least common multiple (LCM) of 175 and 28 is 700.
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 28?
First, calculate the GCD of 175 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 28 = 6 remainder 7 |
| 2 | 28 ÷ 7 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 26 | 4134 |
| 41 and 168 | 6888 |
| 69 and 141 | 3243 |
| 128 and 159 | 20352 |
| 180 and 36 | 180 |