Least Common Multiple (LCM) of 175 and 162
The least common multiple (LCM) of 175 and 162 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 175 and 162?
First, calculate the GCD of 175 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 162 = 1 remainder 13 |
| 2 | 162 ÷ 13 = 12 remainder 6 |
| 3 | 13 ÷ 6 = 2 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 142 | 27122 |
| 125 and 109 | 13625 |
| 200 and 20 | 200 |
| 95 and 42 | 3990 |
| 128 and 21 | 2688 |