Least Common Multiple (LCM) of 147 and 104
The least common multiple (LCM) of 147 and 104 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 147 and 104?
First, calculate the GCD of 147 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 104 = 1 remainder 43 |
| 2 | 104 ÷ 43 = 2 remainder 18 |
| 3 | 43 ÷ 18 = 2 remainder 7 |
| 4 | 18 ÷ 7 = 2 remainder 4 |
| 5 | 7 ÷ 4 = 1 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 42 | 1050 |
| 107 and 122 | 13054 |
| 36 and 22 | 396 |
| 93 and 193 | 17949 |
| 192 and 157 | 30144 |