Least Common Multiple (LCM) of 196 and 130
The least common multiple (LCM) of 196 and 130 is 12740.
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 196 and 130?
First, calculate the GCD of 196 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 130 = 1 remainder 66 |
| 2 | 130 ÷ 66 = 1 remainder 64 |
| 3 | 66 ÷ 64 = 1 remainder 2 |
| 4 | 64 ÷ 2 = 32 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 181 | 20815 |
| 164 and 14 | 1148 |
| 60 and 166 | 4980 |
| 98 and 162 | 7938 |
| 180 and 149 | 26820 |