Least Common Multiple (LCM) of 93 and 184
The least common multiple (LCM) of 93 and 184 is 17112.
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 184?
First, calculate the GCD of 93 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 184 = 0 remainder 93 |
| 2 | 184 ÷ 93 = 1 remainder 91 |
| 3 | 93 ÷ 91 = 1 remainder 2 |
| 4 | 91 ÷ 2 = 45 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 33 | 5874 |
| 37 and 38 | 1406 |
| 28 and 105 | 420 |
| 166 and 132 | 10956 |
| 129 and 74 | 9546 |