Least Common Multiple (LCM) of 179 and 155
The least common multiple (LCM) of 179 and 155 is 27745.
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 155?
First, calculate the GCD of 179 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 155 = 1 remainder 24 |
| 2 | 155 ÷ 24 = 6 remainder 11 |
| 3 | 24 ÷ 11 = 2 remainder 2 |
| 4 | 11 ÷ 2 = 5 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 36 | 1908 |
| 100 and 69 | 6900 |
| 127 and 175 | 22225 |
| 114 and 169 | 19266 |
| 117 and 15 | 585 |