Least Common Multiple (LCM) of 55 and 179
The least common multiple (LCM) of 55 and 179 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 55 and 179?
First, calculate the GCD of 55 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 55 ÷ 179 = 0 remainder 55 |
| 2 | 179 ÷ 55 = 3 remainder 14 |
| 3 | 55 ÷ 14 = 3 remainder 13 |
| 4 | 14 ÷ 13 = 1 remainder 1 |
| 5 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 104 | 1768 |
| 194 and 120 | 11640 |
| 136 and 143 | 19448 |
| 136 and 164 | 5576 |
| 113 and 141 | 15933 |