Least Common Multiple (LCM) of 177 and 104
The least common multiple (LCM) of 177 and 104 is 18408.
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 177 and 104?
First, calculate the GCD of 177 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 104 = 1 remainder 73 |
| 2 | 104 ÷ 73 = 1 remainder 31 |
| 3 | 73 ÷ 31 = 2 remainder 11 |
| 4 | 31 ÷ 11 = 2 remainder 9 |
| 5 | 11 ÷ 9 = 1 remainder 2 |
| 6 | 9 ÷ 2 = 4 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 174 | 16356 |
| 139 and 110 | 15290 |
| 16 and 19 | 304 |
| 135 and 107 | 14445 |
| 147 and 114 | 5586 |