Least Common Multiple (LCM) of 93 and 133
The least common multiple (LCM) of 93 and 133 is 12369.
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 93 and 133?
First, calculate the GCD of 93 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 133 = 0 remainder 93 |
| 2 | 133 ÷ 93 = 1 remainder 40 |
| 3 | 93 ÷ 40 = 2 remainder 13 |
| 4 | 40 ÷ 13 = 3 remainder 1 |
| 5 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 26 | 130 |
| 160 and 16 | 160 |
| 31 and 179 | 5549 |
| 176 and 74 | 6512 |
| 66 and 55 | 330 |