Least Common Multiple (LCM) of 103 and 41
The least common multiple (LCM) of 103 and 41 is 4223.
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 41?
First, calculate the GCD of 103 and 41 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 103 ÷ 41 = 2 remainder 21 |
| 2 | 41 ÷ 21 = 1 remainder 20 |
| 3 | 21 ÷ 20 = 1 remainder 1 |
| 4 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 76 | 2356 |
| 123 and 94 | 11562 |
| 92 and 87 | 8004 |
| 185 and 77 | 14245 |
| 142 and 27 | 3834 |