Least Common Multiple (LCM) of 98 and 130
The least common multiple (LCM) of 98 and 130 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 98 and 130?
First, calculate the GCD of 98 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 98 ÷ 130 = 0 remainder 98 |
| 2 | 130 ÷ 98 = 1 remainder 32 |
| 3 | 98 ÷ 32 = 3 remainder 2 |
| 4 | 32 ÷ 2 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 177 | 19470 |
| 190 and 37 | 7030 |
| 88 and 117 | 10296 |
| 189 and 120 | 7560 |
| 169 and 114 | 19266 |