Least Common Multiple (LCM) of 81 and 179
The least common multiple (LCM) of 81 and 179 is 14499.
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 179?
First, calculate the GCD of 81 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 179 = 0 remainder 81 |
| 2 | 179 ÷ 81 = 2 remainder 17 |
| 3 | 81 ÷ 17 = 4 remainder 13 |
| 4 | 17 ÷ 13 = 1 remainder 4 |
| 5 | 13 ÷ 4 = 3 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 198 | 10494 |
| 149 and 101 | 15049 |
| 97 and 145 | 14065 |
| 164 and 93 | 15252 |
| 77 and 96 | 7392 |