Least Common Multiple (LCM) of 128 and 147
The least common multiple (LCM) of 128 and 147 is 18816.
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 128 and 147?
First, calculate the GCD of 128 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 147 = 0 remainder 128 |
| 2 | 147 ÷ 128 = 1 remainder 19 |
| 3 | 128 ÷ 19 = 6 remainder 14 |
| 4 | 19 ÷ 14 = 1 remainder 5 |
| 5 | 14 ÷ 5 = 2 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 134 and 108 | 7236 |
| 88 and 87 | 7656 |
| 64 and 133 | 8512 |
| 120 and 129 | 5160 |
| 160 and 186 | 14880 |