Least Common Multiple (LCM) of 104 and 53
The least common multiple (LCM) of 104 and 53 is 5512.
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 53?
First, calculate the GCD of 104 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 53 = 1 remainder 51 |
| 2 | 53 ÷ 51 = 1 remainder 2 |
| 3 | 51 ÷ 2 = 25 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 35 and 12 | 420 |
| 32 and 82 | 1312 |
| 171 and 14 | 2394 |
| 98 and 187 | 18326 |
| 122 and 65 | 7930 |