Least Common Multiple (LCM) of 176 and 43
The least common multiple (LCM) of 176 and 43 is 7568.
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 43?
First, calculate the GCD of 176 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 43 = 4 remainder 4 |
| 2 | 43 ÷ 4 = 10 remainder 3 |
| 3 | 4 ÷ 3 = 1 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 84 | 5124 |
| 82 and 152 | 6232 |
| 148 and 177 | 26196 |
| 107 and 141 | 15087 |
| 111 and 177 | 6549 |