Least Common Multiple (LCM) of 162 and 184
The least common multiple (LCM) of 162 and 184 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 162 and 184?
First, calculate the GCD of 162 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 184 = 0 remainder 162 |
| 2 | 184 ÷ 162 = 1 remainder 22 |
| 3 | 162 ÷ 22 = 7 remainder 8 |
| 4 | 22 ÷ 8 = 2 remainder 6 |
| 5 | 8 ÷ 6 = 1 remainder 2 |
| 6 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 189 | 29673 |
| 125 and 98 | 12250 |
| 78 and 103 | 8034 |
| 180 and 136 | 6120 |
| 24 and 67 | 1608 |