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 |
|---|---|
| 177 and 79 | 13983 |
| 109 and 112 | 12208 |
| 76 and 20 | 380 |
| 64 and 131 | 8384 |
| 186 and 114 | 3534 |