Least Common Multiple (LCM) of 178 and 173
The least common multiple (LCM) of 178 and 173 is 30794.
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 178 and 173?
First, calculate the GCD of 178 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 173 = 1 remainder 5 |
| 2 | 173 ÷ 5 = 34 remainder 3 |
| 3 | 5 ÷ 3 = 1 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 138 | 6210 |
| 141 and 11 | 1551 |
| 126 and 162 | 1134 |
| 165 and 80 | 2640 |
| 32 and 142 | 2272 |