Least Common Multiple (LCM) of 104 and 176
The least common multiple (LCM) of 104 and 176 is 2288.
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 176?
First, calculate the GCD of 104 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 176 = 0 remainder 104 |
| 2 | 176 ÷ 104 = 1 remainder 72 |
| 3 | 104 ÷ 72 = 1 remainder 32 |
| 4 | 72 ÷ 32 = 2 remainder 8 |
| 5 | 32 ÷ 8 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 196 | 26460 |
| 72 and 92 | 1656 |
| 128 and 96 | 384 |
| 142 and 142 | 142 |
| 67 and 18 | 1206 |