Least Common Multiple (LCM) of 185 and 130
The least common multiple (LCM) of 185 and 130 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 185 and 130?
First, calculate the GCD of 185 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 130 = 1 remainder 55 |
| 2 | 130 ÷ 55 = 2 remainder 20 |
| 3 | 55 ÷ 20 = 2 remainder 15 |
| 4 | 20 ÷ 15 = 1 remainder 5 |
| 5 | 15 ÷ 5 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 124 | 9796 |
| 29 and 125 | 3625 |
| 147 and 177 | 8673 |
| 70 and 137 | 9590 |
| 195 and 89 | 17355 |