Least Common Multiple (LCM) of 185 and 110
The least common multiple (LCM) of 185 and 110 is 4070.
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 185 and 110?
First, calculate the GCD of 185 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 110 = 1 remainder 75 |
| 2 | 110 ÷ 75 = 1 remainder 35 |
| 3 | 75 ÷ 35 = 2 remainder 5 |
| 4 | 35 ÷ 5 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 192 | 2112 |
| 107 and 49 | 5243 |
| 45 and 168 | 2520 |
| 129 and 63 | 2709 |
| 133 and 147 | 2793 |