Least Common Multiple (LCM) of 176 and 45
The least common multiple (LCM) of 176 and 45 is 7920.
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 45?
First, calculate the GCD of 176 and 45 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 45 = 3 remainder 41 |
| 2 | 45 ÷ 41 = 1 remainder 4 |
| 3 | 41 ÷ 4 = 10 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 104 | 7800 |
| 81 and 79 | 6399 |
| 22 and 13 | 286 |
| 52 and 64 | 832 |
| 180 and 66 | 1980 |