Least Common Multiple (LCM) of 179 and 81
The least common multiple (LCM) of 179 and 81 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 179 and 81?
First, calculate the GCD of 179 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 81 = 2 remainder 17 |
| 2 | 81 ÷ 17 = 4 remainder 13 |
| 3 | 17 ÷ 13 = 1 remainder 4 |
| 4 | 13 ÷ 4 = 3 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 56 | 112 |
| 49 and 178 | 8722 |
| 128 and 92 | 2944 |
| 114 and 193 | 22002 |
| 40 and 173 | 6920 |