Least Common Multiple (LCM) of 184 and 142
The least common multiple (LCM) of 184 and 142 is 13064.
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 142?
First, calculate the GCD of 184 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 142 = 1 remainder 42 |
| 2 | 142 ÷ 42 = 3 remainder 16 |
| 3 | 42 ÷ 16 = 2 remainder 10 |
| 4 | 16 ÷ 10 = 1 remainder 6 |
| 5 | 10 ÷ 6 = 1 remainder 4 |
| 6 | 6 ÷ 4 = 1 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 41 and 36 | 1476 |
| 140 and 162 | 11340 |
| 145 and 30 | 870 |
| 116 and 15 | 1740 |
| 97 and 145 | 14065 |