Least Common Multiple (LCM) of 147 and 184
The least common multiple (LCM) of 147 and 184 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 147 and 184?
First, calculate the GCD of 147 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 184 = 0 remainder 147 |
| 2 | 184 ÷ 147 = 1 remainder 37 |
| 3 | 147 ÷ 37 = 3 remainder 36 |
| 4 | 37 ÷ 36 = 1 remainder 1 |
| 5 | 36 ÷ 1 = 36 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 172 | 7224 |
| 139 and 163 | 22657 |
| 174 and 193 | 33582 |
| 40 and 98 | 1960 |
| 192 and 190 | 18240 |