Least Common Multiple (LCM) of 73 and 130
The least common multiple (LCM) of 73 and 130 is 9490.
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 73 and 130?
First, calculate the GCD of 73 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 130 = 0 remainder 73 |
| 2 | 130 ÷ 73 = 1 remainder 57 |
| 3 | 73 ÷ 57 = 1 remainder 16 |
| 4 | 57 ÷ 16 = 3 remainder 9 |
| 5 | 16 ÷ 9 = 1 remainder 7 |
| 6 | 9 ÷ 7 = 1 remainder 2 |
| 7 | 7 ÷ 2 = 3 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 102 | 714 |
| 108 and 195 | 7020 |
| 198 and 17 | 3366 |
| 178 and 77 | 13706 |
| 101 and 35 | 3535 |