Least Common Multiple (LCM) of 16 and 130
The least common multiple (LCM) of 16 and 130 is 1040.
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 16 and 130?
First, calculate the GCD of 16 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 16 ÷ 130 = 0 remainder 16 |
| 2 | 130 ÷ 16 = 8 remainder 2 |
| 3 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 121 | 1210 |
| 197 and 162 | 31914 |
| 110 and 188 | 10340 |
| 96 and 65 | 6240 |
| 49 and 67 | 3283 |