Least Common Multiple (LCM) of 130 and 160
The least common multiple (LCM) of 130 and 160 is 2080.
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 130 and 160?
First, calculate the GCD of 130 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 160 = 0 remainder 130 |
| 2 | 160 ÷ 130 = 1 remainder 30 |
| 3 | 130 ÷ 30 = 4 remainder 10 |
| 4 | 30 ÷ 10 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 138 | 3312 |
| 169 and 99 | 16731 |
| 61 and 177 | 10797 |
| 123 and 37 | 4551 |
| 189 and 200 | 37800 |