Least Common Multiple (LCM) of 30 and 184
The least common multiple (LCM) of 30 and 184 is 2760.
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 30 and 184?
First, calculate the GCD of 30 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 30 ÷ 184 = 0 remainder 30 |
| 2 | 184 ÷ 30 = 6 remainder 4 |
| 3 | 30 ÷ 4 = 7 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 29 | 3045 |
| 170 and 78 | 6630 |
| 38 and 80 | 1520 |
| 158 and 22 | 1738 |
| 129 and 70 | 9030 |