Least Common Multiple (LCM) of 200 and 130
The least common multiple (LCM) of 200 and 130 is 2600.
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 200 and 130?
First, calculate the GCD of 200 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 130 = 1 remainder 70 |
| 2 | 130 ÷ 70 = 1 remainder 60 |
| 3 | 70 ÷ 60 = 1 remainder 10 |
| 4 | 60 ÷ 10 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 60 and 63 | 1260 |
| 114 and 157 | 17898 |
| 69 and 110 | 7590 |
| 81 and 76 | 6156 |
| 132 and 60 | 660 |