Least Common Multiple (LCM) of 184 and 162
The least common multiple (LCM) of 184 and 162 is 14904.
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 162?
First, calculate the GCD of 184 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 162 = 1 remainder 22 |
| 2 | 162 ÷ 22 = 7 remainder 8 |
| 3 | 22 ÷ 8 = 2 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 94 and 133 | 12502 |
| 98 and 27 | 2646 |
| 168 and 180 | 2520 |
| 110 and 149 | 16390 |
| 61 and 51 | 3111 |