Least Common Multiple (LCM) of 48 and 103
The least common multiple (LCM) of 48 and 103 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 48 and 103?
First, calculate the GCD of 48 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 48 ÷ 103 = 0 remainder 48 |
| 2 | 103 ÷ 48 = 2 remainder 7 |
| 3 | 48 ÷ 7 = 6 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 125 | 17125 |
| 41 and 60 | 2460 |
| 186 and 167 | 31062 |
| 151 and 142 | 21442 |
| 60 and 185 | 2220 |