Least Common Multiple (LCM) of 175 and 183
The least common multiple (LCM) of 175 and 183 is 32025.
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 183?
First, calculate the GCD of 175 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 183 = 0 remainder 175 |
| 2 | 183 ÷ 175 = 1 remainder 8 |
| 3 | 175 ÷ 8 = 21 remainder 7 |
| 4 | 8 ÷ 7 = 1 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 190 | 12160 |
| 100 and 134 | 6700 |
| 141 and 47 | 141 |
| 105 and 102 | 3570 |
| 75 and 65 | 975 |