Least Common Multiple (LCM) of 173 and 176
The least common multiple (LCM) of 173 and 176 is 30448.
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 173 and 176?
First, calculate the GCD of 173 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 176 = 0 remainder 173 |
| 2 | 176 ÷ 173 = 1 remainder 3 |
| 3 | 173 ÷ 3 = 57 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 28 | 2100 |
| 157 and 40 | 6280 |
| 116 and 165 | 19140 |
| 17 and 149 | 2533 |
| 38 and 99 | 3762 |