Least Common Multiple (LCM) of 103 and 102
The least common multiple (LCM) of 103 and 102 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 103 and 102?
First, calculate the GCD of 103 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 103 ÷ 102 = 1 remainder 1 |
| 2 | 102 ÷ 1 = 102 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 67 | 7973 |
| 109 and 83 | 9047 |
| 32 and 157 | 5024 |
| 105 and 172 | 18060 |
| 41 and 193 | 7913 |