Least Common Multiple (LCM) of 179 and 28
The least common multiple (LCM) of 179 and 28 is 5012.
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 28?
First, calculate the GCD of 179 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 28 = 6 remainder 11 |
| 2 | 28 ÷ 11 = 2 remainder 6 |
| 3 | 11 ÷ 6 = 1 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 154 | 1232 |
| 148 and 81 | 11988 |
| 176 and 137 | 24112 |
| 189 and 187 | 35343 |
| 34 and 181 | 6154 |