Least Common Multiple (LCM) of 179 and 181
The least common multiple (LCM) of 179 and 181 is 32399.
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 181?
First, calculate the GCD of 179 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 181 = 0 remainder 179 |
| 2 | 181 ÷ 179 = 1 remainder 2 |
| 3 | 179 ÷ 2 = 89 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 189 | 8694 |
| 108 and 136 | 3672 |
| 116 and 172 | 4988 |
| 69 and 139 | 9591 |
| 105 and 36 | 1260 |