Least Common Multiple (LCM) of 175 and 19
The least common multiple (LCM) of 175 and 19 is 3325.
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 19?
First, calculate the GCD of 175 and 19 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 19 = 9 remainder 4 |
| 2 | 19 ÷ 4 = 4 remainder 3 |
| 3 | 4 ÷ 3 = 1 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 84 and 61 | 5124 |
| 67 and 160 | 10720 |
| 40 and 101 | 4040 |
| 179 and 160 | 28640 |
| 187 and 75 | 14025 |