Least Common Multiple (LCM) of 162 and 175
The least common multiple (LCM) of 162 and 175 is 28350.
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 162 and 175?
First, calculate the GCD of 162 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 175 = 0 remainder 162 |
| 2 | 175 ÷ 162 = 1 remainder 13 |
| 3 | 162 ÷ 13 = 12 remainder 6 |
| 4 | 13 ÷ 6 = 2 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 185 | 740 |
| 106 and 146 | 7738 |
| 142 and 23 | 3266 |
| 144 and 13 | 1872 |
| 111 and 163 | 18093 |