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 |
|---|---|
| 31 and 107 | 3317 |
| 53 and 100 | 5300 |
| 68 and 13 | 884 |
| 110 and 169 | 18590 |
| 198 and 157 | 31086 |