Least Common Multiple (LCM) of 175 and 130
The least common multiple (LCM) of 175 and 130 is 4550.
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 130?
First, calculate the GCD of 175 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 130 = 1 remainder 45 |
| 2 | 130 ÷ 45 = 2 remainder 40 |
| 3 | 45 ÷ 40 = 1 remainder 5 |
| 4 | 40 ÷ 5 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 57 and 14 | 798 |
| 13 and 132 | 1716 |
| 100 and 177 | 17700 |
| 54 and 150 | 1350 |
| 133 and 127 | 16891 |