Least Common Multiple (LCM) of 184 and 90
The least common multiple (LCM) of 184 and 90 is 8280.
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 90?
First, calculate the GCD of 184 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 90 = 2 remainder 4 |
| 2 | 90 ÷ 4 = 22 remainder 2 |
| 3 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 15 | 705 |
| 111 and 42 | 1554 |
| 27 and 156 | 1404 |
| 160 and 180 | 1440 |
| 32 and 101 | 3232 |