Least Common Multiple (LCM) of 163 and 175
The least common multiple (LCM) of 163 and 175 is 28525.
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 163 and 175?
First, calculate the GCD of 163 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 175 = 0 remainder 163 |
| 2 | 175 ÷ 163 = 1 remainder 12 |
| 3 | 163 ÷ 12 = 13 remainder 7 |
| 4 | 12 ÷ 7 = 1 remainder 5 |
| 5 | 7 ÷ 5 = 1 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 172 | 3440 |
| 175 and 164 | 28700 |
| 140 and 88 | 3080 |
| 66 and 15 | 330 |
| 108 and 96 | 864 |