Least Common Multiple (LCM) of 178 and 82
The least common multiple (LCM) of 178 and 82 is 7298.
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 178 and 82?
First, calculate the GCD of 178 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 82 = 2 remainder 14 |
| 2 | 82 ÷ 14 = 5 remainder 12 |
| 3 | 14 ÷ 12 = 1 remainder 2 |
| 4 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 156 | 28236 |
| 186 and 58 | 5394 |
| 65 and 71 | 4615 |
| 16 and 100 | 400 |
| 120 and 157 | 18840 |