Least Common Multiple (LCM) of 12 and 176
The least common multiple (LCM) of 12 and 176 is 528.
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 12 and 176?
First, calculate the GCD of 12 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 12 ÷ 176 = 0 remainder 12 |
| 2 | 176 ÷ 12 = 14 remainder 8 |
| 3 | 12 ÷ 8 = 1 remainder 4 |
| 4 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 57 | 3021 |
| 19 and 105 | 1995 |
| 49 and 144 | 7056 |
| 108 and 131 | 14148 |
| 111 and 57 | 2109 |