Least Common Multiple (LCM) of 132 and 130
The least common multiple (LCM) of 132 and 130 is 8580.
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 132 and 130?
First, calculate the GCD of 132 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 130 = 1 remainder 2 |
| 2 | 130 ÷ 2 = 65 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 197 | 35263 |
| 147 and 32 | 4704 |
| 11 and 34 | 374 |
| 94 and 150 | 7050 |
| 190 and 130 | 2470 |