Least Common Multiple (LCM) of 173 and 30
The least common multiple (LCM) of 173 and 30 is 5190.
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 30?
First, calculate the GCD of 173 and 30 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 30 = 5 remainder 23 |
| 2 | 30 ÷ 23 = 1 remainder 7 |
| 3 | 23 ÷ 7 = 3 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 154 | 3234 |
| 194 and 34 | 3298 |
| 107 and 72 | 7704 |
| 176 and 176 | 176 |
| 51 and 129 | 2193 |