Least Common Multiple (LCM) of 176 and 82
The least common multiple (LCM) of 176 and 82 is 7216.
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 82?
First, calculate the GCD of 176 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 82 = 2 remainder 12 |
| 2 | 82 ÷ 12 = 6 remainder 10 |
| 3 | 12 ÷ 10 = 1 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 87 | 4176 |
| 121 and 56 | 6776 |
| 117 and 39 | 117 |
| 60 and 72 | 360 |
| 187 and 101 | 18887 |