Least Common Multiple (LCM) of 130 and 85
The least common multiple (LCM) of 130 and 85 is 2210.
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 85?
First, calculate the GCD of 130 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 85 = 1 remainder 45 |
| 2 | 85 ÷ 45 = 1 remainder 40 |
| 3 | 45 ÷ 40 = 1 remainder 5 |
| 4 | 40 ÷ 5 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 90 | 9090 |
| 86 and 62 | 2666 |
| 184 and 43 | 7912 |
| 174 and 90 | 2610 |
| 82 and 34 | 1394 |