Least Common Multiple (LCM) of 176 and 180
The least common multiple (LCM) of 176 and 180 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 180?
First, calculate the GCD of 176 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 180 = 0 remainder 176 |
| 2 | 180 ÷ 176 = 1 remainder 4 |
| 3 | 176 ÷ 4 = 44 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 47 and 19 | 893 |
| 135 and 189 | 945 |
| 78 and 145 | 11310 |
| 117 and 86 | 10062 |
| 105 and 113 | 11865 |