Least Common Multiple (LCM) of 103 and 104
The least common multiple (LCM) of 103 and 104 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 103 and 104?
First, calculate the GCD of 103 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 103 ÷ 104 = 0 remainder 103 |
| 2 | 104 ÷ 103 = 1 remainder 1 |
| 3 | 103 ÷ 1 = 103 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 28 | 700 |
| 165 and 51 | 2805 |
| 102 and 109 | 11118 |
| 83 and 64 | 5312 |
| 27 and 106 | 2862 |