Least Common Multiple (LCM) of 184 and 161
The least common multiple (LCM) of 184 and 161 is 1288.
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 161?
First, calculate the GCD of 184 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 161 = 1 remainder 23 |
| 2 | 161 ÷ 23 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 123 | 10947 |
| 177 and 96 | 5664 |
| 65 and 112 | 7280 |
| 167 and 69 | 11523 |
| 30 and 169 | 5070 |