Least Common Multiple (LCM) of 184 and 174
The least common multiple (LCM) of 184 and 174 is 16008.
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 174?
First, calculate the GCD of 184 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 174 = 1 remainder 10 |
| 2 | 174 ÷ 10 = 17 remainder 4 |
| 3 | 10 ÷ 4 = 2 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 155 and 77 | 11935 |
| 143 and 138 | 19734 |
| 125 and 102 | 12750 |
| 165 and 31 | 5115 |
| 180 and 60 | 180 |