Least Common Multiple (LCM) of 176 and 104
The least common multiple (LCM) of 176 and 104 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 176 and 104?
First, calculate the GCD of 176 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 104 = 1 remainder 72 |
| 2 | 104 ÷ 72 = 1 remainder 32 |
| 3 | 72 ÷ 32 = 2 remainder 8 |
| 4 | 32 ÷ 8 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 153 | 16677 |
| 180 and 43 | 7740 |
| 161 and 164 | 26404 |
| 34 and 66 | 1122 |
| 29 and 129 | 3741 |