Least Common Multiple (LCM) of 102 and 103
The least common multiple (LCM) of 102 and 103 is 10506.
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 102 and 103?
First, calculate the GCD of 102 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 103 = 0 remainder 102 |
| 2 | 103 ÷ 102 = 1 remainder 1 |
| 3 | 102 ÷ 1 = 102 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 78 | 312 |
| 87 and 85 | 7395 |
| 50 and 32 | 800 |
| 106 and 188 | 9964 |
| 171 and 110 | 18810 |