Least Common Multiple (LCM) of 103 and 93
The least common multiple (LCM) of 103 and 93 is 9579.
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 93?
First, calculate the GCD of 103 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 103 ÷ 93 = 1 remainder 10 |
| 2 | 93 ÷ 10 = 9 remainder 3 |
| 3 | 10 ÷ 3 = 3 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 53 and 117 | 6201 |
| 54 and 97 | 5238 |
| 65 and 193 | 12545 |
| 199 and 105 | 20895 |
| 97 and 130 | 12610 |