Least Common Multiple (LCM) of 176 and 173
The least common multiple (LCM) of 176 and 173 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 176 and 173?
First, calculate the GCD of 176 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 173 = 1 remainder 3 |
| 2 | 173 ÷ 3 = 57 remainder 2 |
| 3 | 3 ÷ 2 = 1 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 81 and 82 | 6642 |
| 151 and 137 | 20687 |
| 156 and 111 | 5772 |
| 176 and 171 | 30096 |
| 29 and 31 | 899 |