Least Common Multiple (LCM) of 103 and 147
The least common multiple (LCM) of 103 and 147 is 15141.
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 147?
First, calculate the GCD of 103 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 103 ÷ 147 = 0 remainder 103 |
| 2 | 147 ÷ 103 = 1 remainder 44 |
| 3 | 103 ÷ 44 = 2 remainder 15 |
| 4 | 44 ÷ 15 = 2 remainder 14 |
| 5 | 15 ÷ 14 = 1 remainder 1 |
| 6 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 181 | 30046 |
| 189 and 21 | 189 |
| 142 and 84 | 5964 |
| 64 and 60 | 960 |
| 144 and 148 | 5328 |