Least Common Multiple (LCM) of 176 and 56
The least common multiple (LCM) of 176 and 56 is 1232.
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 56?
First, calculate the GCD of 176 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 56 = 3 remainder 8 |
| 2 | 56 ÷ 8 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 54 | 3510 |
| 78 and 152 | 5928 |
| 156 and 170 | 13260 |
| 159 and 197 | 31323 |
| 158 and 57 | 9006 |