Least Common Multiple (LCM) of 184 and 147
The least common multiple (LCM) of 184 and 147 is 27048.
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 184 and 147?
First, calculate the GCD of 184 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 147 = 1 remainder 37 |
| 2 | 147 ÷ 37 = 3 remainder 36 |
| 3 | 37 ÷ 36 = 1 remainder 1 |
| 4 | 36 ÷ 1 = 36 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 96 | 5856 |
| 163 and 32 | 5216 |
| 114 and 102 | 1938 |
| 176 and 191 | 33616 |
| 72 and 78 | 936 |