Least Common Multiple (LCM) of 140 and 184
The least common multiple (LCM) of 140 and 184 is 6440.
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 140 and 184?
First, calculate the GCD of 140 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 184 = 0 remainder 140 |
| 2 | 184 ÷ 140 = 1 remainder 44 |
| 3 | 140 ÷ 44 = 3 remainder 8 |
| 4 | 44 ÷ 8 = 5 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 51 | 510 |
| 191 and 107 | 20437 |
| 120 and 192 | 960 |
| 159 and 126 | 6678 |
| 173 and 108 | 18684 |