Least Common Multiple (LCM) of 146 and 176
The least common multiple (LCM) of 146 and 176 is 12848.
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 176?
First, calculate the GCD of 146 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 176 = 0 remainder 146 |
| 2 | 176 ÷ 146 = 1 remainder 30 |
| 3 | 146 ÷ 30 = 4 remainder 26 |
| 4 | 30 ÷ 26 = 1 remainder 4 |
| 5 | 26 ÷ 4 = 6 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 27 and 112 | 3024 |
| 57 and 17 | 969 |
| 197 and 83 | 16351 |
| 85 and 38 | 3230 |
| 166 and 20 | 1660 |