Least Common Multiple (LCM) of 130 and 133
The least common multiple (LCM) of 130 and 133 is 17290.
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 133?
First, calculate the GCD of 130 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 133 = 0 remainder 130 |
| 2 | 133 ÷ 130 = 1 remainder 3 |
| 3 | 130 ÷ 3 = 43 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 142 | 18034 |
| 166 and 186 | 15438 |
| 97 and 56 | 5432 |
| 71 and 102 | 7242 |
| 141 and 64 | 9024 |