Least Common Multiple (LCM) of 104 and 103
The least common multiple (LCM) of 104 and 103 is 10712.
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 103?
First, calculate the GCD of 104 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 103 = 1 remainder 1 |
| 2 | 103 ÷ 1 = 103 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 79 and 52 | 4108 |
| 190 and 117 | 22230 |
| 160 and 20 | 160 |
| 160 and 54 | 4320 |
| 76 and 40 | 760 |