Least Common Multiple (LCM) of 176 and 110
The least common multiple (LCM) of 176 and 110 is 880.
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 176 and 110?
First, calculate the GCD of 176 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 110 = 1 remainder 66 |
| 2 | 110 ÷ 66 = 1 remainder 44 |
| 3 | 66 ÷ 44 = 1 remainder 22 |
| 4 | 44 ÷ 22 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 16 | 1040 |
| 198 and 192 | 6336 |
| 37 and 181 | 6697 |
| 67 and 15 | 1005 |
| 100 and 175 | 700 |