Least Common Multiple (LCM) of 128 and 184
The least common multiple (LCM) of 128 and 184 is 2944.
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 184?
First, calculate the GCD of 128 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 184 = 0 remainder 128 |
| 2 | 184 ÷ 128 = 1 remainder 56 |
| 3 | 128 ÷ 56 = 2 remainder 16 |
| 4 | 56 ÷ 16 = 3 remainder 8 |
| 5 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 120 | 13080 |
| 118 and 134 | 7906 |
| 56 and 63 | 504 |
| 150 and 10 | 150 |
| 155 and 50 | 1550 |