Least Common Multiple (LCM) of 179 and 171
The least common multiple (LCM) of 179 and 171 is 30609.
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 171?
First, calculate the GCD of 179 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 171 = 1 remainder 8 |
| 2 | 171 ÷ 8 = 21 remainder 3 |
| 3 | 8 ÷ 3 = 2 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 66 and 93 | 2046 |
| 99 and 177 | 5841 |
| 39 and 31 | 1209 |
| 109 and 112 | 12208 |
| 180 and 49 | 8820 |