Least Common Multiple (LCM) of 179 and 71
The least common multiple (LCM) of 179 and 71 is 12709.
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 71?
First, calculate the GCD of 179 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 71 = 2 remainder 37 |
| 2 | 71 ÷ 37 = 1 remainder 34 |
| 3 | 37 ÷ 34 = 1 remainder 3 |
| 4 | 34 ÷ 3 = 11 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 99 | 1287 |
| 32 and 112 | 224 |
| 191 and 111 | 21201 |
| 184 and 29 | 5336 |
| 126 and 49 | 882 |