Least Common Multiple (LCM) of 128 and 149
The least common multiple (LCM) of 128 and 149 is 19072.
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 149?
First, calculate the GCD of 128 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 149 = 0 remainder 128 |
| 2 | 149 ÷ 128 = 1 remainder 21 |
| 3 | 128 ÷ 21 = 6 remainder 2 |
| 4 | 21 ÷ 2 = 10 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 149 | 19370 |
| 154 and 75 | 11550 |
| 84 and 64 | 1344 |
| 109 and 179 | 19511 |
| 55 and 175 | 1925 |