Least Common Multiple (LCM) of 175 and 165
The least common multiple (LCM) of 175 and 165 is 5775.
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 165?
First, calculate the GCD of 175 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 165 = 1 remainder 10 |
| 2 | 165 ÷ 10 = 16 remainder 5 |
| 3 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 74 | 3774 |
| 60 and 143 | 8580 |
| 144 and 16 | 144 |
| 198 and 46 | 4554 |
| 154 and 12 | 924 |