Least Common Multiple (LCM) of 176 and 163
The least common multiple (LCM) of 176 and 163 is 28688.
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 163?
First, calculate the GCD of 176 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 163 = 1 remainder 13 |
| 2 | 163 ÷ 13 = 12 remainder 7 |
| 3 | 13 ÷ 7 = 1 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 95 | 14345 |
| 12 and 43 | 516 |
| 123 and 178 | 21894 |
| 52 and 187 | 9724 |
| 121 and 23 | 2783 |