Least Common Multiple (LCM) of 104 and 32
The least common multiple (LCM) of 104 and 32 is 416.
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 32?
First, calculate the GCD of 104 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 32 = 3 remainder 8 |
| 2 | 32 ÷ 8 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 102 | 12342 |
| 161 and 82 | 13202 |
| 12 and 109 | 1308 |
| 95 and 169 | 16055 |
| 178 and 183 | 32574 |