Least Common Multiple (LCM) of 27 and 173
The least common multiple (LCM) of 27 and 173 is 4671.
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 27 and 173?
First, calculate the GCD of 27 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 27 ÷ 173 = 0 remainder 27 |
| 2 | 173 ÷ 27 = 6 remainder 11 |
| 3 | 27 ÷ 11 = 2 remainder 5 |
| 4 | 11 ÷ 5 = 2 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 118 | 7316 |
| 158 and 83 | 13114 |
| 96 and 175 | 16800 |
| 190 and 181 | 34390 |
| 98 and 145 | 14210 |