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 |
|---|---|
| 40 and 145 | 1160 |
| 140 and 135 | 3780 |
| 12 and 78 | 156 |
| 86 and 106 | 4558 |
| 29 and 187 | 5423 |