Least Common Multiple (LCM) of 130 and 74
The least common multiple (LCM) of 130 and 74 is 4810.
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 74?
First, calculate the GCD of 130 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 74 = 1 remainder 56 |
| 2 | 74 ÷ 56 = 1 remainder 18 |
| 3 | 56 ÷ 18 = 3 remainder 2 |
| 4 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 61 | 7747 |
| 123 and 183 | 7503 |
| 10 and 200 | 200 |
| 83 and 17 | 1411 |
| 36 and 58 | 1044 |