Least Common Multiple (LCM) of 179 and 55
The least common multiple (LCM) of 179 and 55 is 9845.
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 55?
First, calculate the GCD of 179 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 55 = 3 remainder 14 |
| 2 | 55 ÷ 14 = 3 remainder 13 |
| 3 | 14 ÷ 13 = 1 remainder 1 |
| 4 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 97 | 18139 |
| 160 and 40 | 160 |
| 77 and 174 | 13398 |
| 36 and 113 | 4068 |
| 90 and 184 | 8280 |