Least Common Multiple (LCM) of 103 and 48
The least common multiple (LCM) of 103 and 48 is 4944.
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 48?
First, calculate the GCD of 103 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 103 ÷ 48 = 2 remainder 7 |
| 2 | 48 ÷ 7 = 6 remainder 6 |
| 3 | 7 ÷ 6 = 1 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 103 | 14523 |
| 126 and 91 | 1638 |
| 133 and 16 | 2128 |
| 115 and 112 | 12880 |
| 180 and 109 | 19620 |