Least Common Multiple (LCM) of 110 and 176
The least common multiple (LCM) of 110 and 176 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 110 and 176?
First, calculate the GCD of 110 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 176 = 0 remainder 110 |
| 2 | 176 ÷ 110 = 1 remainder 66 |
| 3 | 110 ÷ 66 = 1 remainder 44 |
| 4 | 66 ÷ 44 = 1 remainder 22 |
| 5 | 44 ÷ 22 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 56 and 36 | 504 |
| 69 and 188 | 12972 |
| 37 and 54 | 1998 |
| 129 and 23 | 2967 |
| 135 and 175 | 4725 |