Least Common Multiple (LCM) of 173 and 35
The least common multiple (LCM) of 173 and 35 is 6055.
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 35?
First, calculate the GCD of 173 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 35 = 4 remainder 33 |
| 2 | 35 ÷ 33 = 1 remainder 2 |
| 3 | 33 ÷ 2 = 16 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 54 | 378 |
| 175 and 103 | 18025 |
| 47 and 19 | 893 |
| 125 and 66 | 8250 |
| 163 and 23 | 3749 |