Least Common Multiple (LCM) of 104 and 177
The least common multiple (LCM) of 104 and 177 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 104 and 177?
First, calculate the GCD of 104 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 177 = 0 remainder 104 |
| 2 | 177 ÷ 104 = 1 remainder 73 |
| 3 | 104 ÷ 73 = 1 remainder 31 |
| 4 | 73 ÷ 31 = 2 remainder 11 |
| 5 | 31 ÷ 11 = 2 remainder 9 |
| 6 | 11 ÷ 9 = 1 remainder 2 |
| 7 | 9 ÷ 2 = 4 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 54 | 4104 |
| 88 and 64 | 704 |
| 44 and 178 | 3916 |
| 70 and 87 | 6090 |
| 68 and 164 | 2788 |