Least Common Multiple (LCM) of 176 and 46
The least common multiple (LCM) of 176 and 46 is 4048.
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 176 and 46?
First, calculate the GCD of 176 and 46 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 46 = 3 remainder 38 |
| 2 | 46 ÷ 38 = 1 remainder 8 |
| 3 | 38 ÷ 8 = 4 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 85 | 2125 |
| 190 and 177 | 33630 |
| 97 and 171 | 16587 |
| 138 and 83 | 11454 |
| 41 and 26 | 1066 |