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 |
|---|---|
| 86 and 62 | 2666 |
| 145 and 161 | 23345 |
| 86 and 103 | 8858 |
| 155 and 60 | 1860 |
| 121 and 23 | 2783 |