Least Common Multiple (LCM) of 130 and 56
The least common multiple (LCM) of 130 and 56 is 3640.
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 56?
First, calculate the GCD of 130 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 56 = 2 remainder 18 |
| 2 | 56 ÷ 18 = 3 remainder 2 |
| 3 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 103 | 1133 |
| 167 and 83 | 13861 |
| 71 and 195 | 13845 |
| 161 and 17 | 2737 |
| 148 and 163 | 24124 |