Least Common Multiple (LCM) of 146 and 184
The least common multiple (LCM) of 146 and 184 is 13432.
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 146 and 184?
First, calculate the GCD of 146 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 184 = 0 remainder 146 |
| 2 | 184 ÷ 146 = 1 remainder 38 |
| 3 | 146 ÷ 38 = 3 remainder 32 |
| 4 | 38 ÷ 32 = 1 remainder 6 |
| 5 | 32 ÷ 6 = 5 remainder 2 |
| 6 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 84 | 252 |
| 12 and 71 | 852 |
| 98 and 92 | 4508 |
| 166 and 29 | 4814 |
| 69 and 96 | 2208 |