Least Common Multiple (LCM) of 133 and 130
The least common multiple (LCM) of 133 and 130 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 133 and 130?
First, calculate the GCD of 133 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 130 = 1 remainder 3 |
| 2 | 130 ÷ 3 = 43 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 108 | 5940 |
| 101 and 186 | 18786 |
| 44 and 173 | 7612 |
| 169 and 62 | 10478 |
| 135 and 87 | 3915 |