Least Common Multiple (LCM) of 81 and 176
The least common multiple (LCM) of 81 and 176 is 14256.
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 81 and 176?
First, calculate the GCD of 81 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 176 = 0 remainder 81 |
| 2 | 176 ÷ 81 = 2 remainder 14 |
| 3 | 81 ÷ 14 = 5 remainder 11 |
| 4 | 14 ÷ 11 = 1 remainder 3 |
| 5 | 11 ÷ 3 = 3 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 81 | 5751 |
| 52 and 140 | 1820 |
| 89 and 109 | 9701 |
| 139 and 134 | 18626 |
| 109 and 175 | 19075 |