Least Common Multiple (LCM) of 110 and 184
The least common multiple (LCM) of 110 and 184 is 10120.
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 110 and 184?
First, calculate the GCD of 110 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 184 = 0 remainder 110 |
| 2 | 184 ÷ 110 = 1 remainder 74 |
| 3 | 110 ÷ 74 = 1 remainder 36 |
| 4 | 74 ÷ 36 = 2 remainder 2 |
| 5 | 36 ÷ 2 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 93 and 51 | 1581 |
| 59 and 30 | 1770 |
| 178 and 28 | 2492 |
| 157 and 49 | 7693 |
| 140 and 60 | 420 |