Least Common Multiple (LCM) of 103 and 148
The least common multiple (LCM) of 103 and 148 is 15244.
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 148?
First, calculate the GCD of 103 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 103 ÷ 148 = 0 remainder 103 |
| 2 | 148 ÷ 103 = 1 remainder 45 |
| 3 | 103 ÷ 45 = 2 remainder 13 |
| 4 | 45 ÷ 13 = 3 remainder 6 |
| 5 | 13 ÷ 6 = 2 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 196 | 6468 |
| 186 and 111 | 6882 |
| 54 and 75 | 1350 |
| 149 and 34 | 5066 |
| 150 and 122 | 9150 |