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 |
|---|---|
| 92 and 128 | 2944 |
| 92 and 72 | 1656 |
| 167 and 64 | 10688 |
| 123 and 50 | 6150 |
| 106 and 42 | 2226 |