Least Common Multiple (LCM) of 130 and 98
The least common multiple (LCM) of 130 and 98 is 6370.
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 98?
First, calculate the GCD of 130 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 98 = 1 remainder 32 |
| 2 | 98 ÷ 32 = 3 remainder 2 |
| 3 | 32 ÷ 2 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 165 | 4785 |
| 171 and 39 | 2223 |
| 49 and 73 | 3577 |
| 67 and 118 | 7906 |
| 149 and 150 | 22350 |