Least Common Multiple (LCM) of 32 and 130
The least common multiple (LCM) of 32 and 130 is 2080.
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 32 and 130?
First, calculate the GCD of 32 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 32 ÷ 130 = 0 remainder 32 |
| 2 | 130 ÷ 32 = 4 remainder 2 |
| 3 | 32 ÷ 2 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 68 | 2992 |
| 193 and 178 | 34354 |
| 166 and 79 | 13114 |
| 86 and 134 | 5762 |
| 58 and 191 | 11078 |