Least Common Multiple (LCM) of 175 and 184
The least common multiple (LCM) of 175 and 184 is 32200.
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 184?
First, calculate the GCD of 175 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 184 = 0 remainder 175 |
| 2 | 184 ÷ 175 = 1 remainder 9 |
| 3 | 175 ÷ 9 = 19 remainder 4 |
| 4 | 9 ÷ 4 = 2 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 108 | 7884 |
| 182 and 18 | 1638 |
| 12 and 137 | 1644 |
| 100 and 160 | 800 |
| 46 and 114 | 2622 |