Least Common Multiple (LCM) of 104 and 147
The least common multiple (LCM) of 104 and 147 is 15288.
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 104 and 147?
First, calculate the GCD of 104 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 147 = 0 remainder 104 |
| 2 | 147 ÷ 104 = 1 remainder 43 |
| 3 | 104 ÷ 43 = 2 remainder 18 |
| 4 | 43 ÷ 18 = 2 remainder 7 |
| 5 | 18 ÷ 7 = 2 remainder 4 |
| 6 | 7 ÷ 4 = 1 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 32 | 2080 |
| 157 and 166 | 26062 |
| 43 and 55 | 2365 |
| 86 and 189 | 16254 |
| 189 and 168 | 1512 |