Least Common Multiple (LCM) of 160 and 130
The least common multiple (LCM) of 160 and 130 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 160 and 130?
First, calculate the GCD of 160 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 130 = 1 remainder 30 |
| 2 | 130 ÷ 30 = 4 remainder 10 |
| 3 | 30 ÷ 10 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 62 and 14 | 434 |
| 98 and 167 | 16366 |
| 114 and 63 | 2394 |
| 124 and 30 | 1860 |
| 135 and 151 | 20385 |