Least Common Multiple (LCM) of 179 and 12
The least common multiple (LCM) of 179 and 12 is 2148.
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 12?
First, calculate the GCD of 179 and 12 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 12 = 14 remainder 11 |
| 2 | 12 ÷ 11 = 1 remainder 1 |
| 3 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 165 | 2805 |
| 162 and 186 | 5022 |
| 182 and 151 | 27482 |
| 139 and 66 | 9174 |
| 122 and 167 | 20374 |