Least Common Multiple (LCM) of 184 and 93
The least common multiple (LCM) of 184 and 93 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 184 and 93?
First, calculate the GCD of 184 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 93 = 1 remainder 91 |
| 2 | 93 ÷ 91 = 1 remainder 2 |
| 3 | 91 ÷ 2 = 45 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 109 | 13080 |
| 56 and 53 | 2968 |
| 140 and 77 | 1540 |
| 78 and 190 | 7410 |
| 190 and 59 | 11210 |