Least Common Multiple (LCM) of 173 and 88
The least common multiple (LCM) of 173 and 88 is 15224.
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 88?
First, calculate the GCD of 173 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 88 = 1 remainder 85 |
| 2 | 88 ÷ 85 = 1 remainder 3 |
| 3 | 85 ÷ 3 = 28 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 180 | 2340 |
| 88 and 101 | 8888 |
| 73 and 32 | 2336 |
| 200 and 185 | 7400 |
| 32 and 15 | 480 |