Least Common Multiple (LCM) of 156 and 184
The least common multiple (LCM) of 156 and 184 is 7176.
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 156 and 184?
First, calculate the GCD of 156 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 184 = 0 remainder 156 |
| 2 | 184 ÷ 156 = 1 remainder 28 |
| 3 | 156 ÷ 28 = 5 remainder 16 |
| 4 | 28 ÷ 16 = 1 remainder 12 |
| 5 | 16 ÷ 12 = 1 remainder 4 |
| 6 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 57 and 174 | 3306 |
| 131 and 127 | 16637 |
| 137 and 120 | 16440 |
| 42 and 55 | 2310 |
| 83 and 77 | 6391 |