Least Common Multiple (LCM) of 130 and 194
The least common multiple (LCM) of 130 and 194 is 12610.
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 194?
First, calculate the GCD of 130 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 194 = 0 remainder 130 |
| 2 | 194 ÷ 130 = 1 remainder 64 |
| 3 | 130 ÷ 64 = 2 remainder 2 |
| 4 | 64 ÷ 2 = 32 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 35 | 910 |
| 43 and 89 | 3827 |
| 101 and 167 | 16867 |
| 170 and 61 | 10370 |
| 80 and 91 | 7280 |