Least Common Multiple (LCM) of 103 and 73
The least common multiple (LCM) of 103 and 73 is 7519.
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 73?
First, calculate the GCD of 103 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 103 ÷ 73 = 1 remainder 30 |
| 2 | 73 ÷ 30 = 2 remainder 13 |
| 3 | 30 ÷ 13 = 2 remainder 4 |
| 4 | 13 ÷ 4 = 3 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 85 and 25 | 425 |
| 141 and 176 | 24816 |
| 41 and 65 | 2665 |
| 147 and 68 | 9996 |
| 172 and 106 | 9116 |