Least Common Multiple (LCM) of 26 and 179
The least common multiple (LCM) of 26 and 179 is 4654.
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 26 and 179?
First, calculate the GCD of 26 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 26 ÷ 179 = 0 remainder 26 |
| 2 | 179 ÷ 26 = 6 remainder 23 |
| 3 | 26 ÷ 23 = 1 remainder 3 |
| 4 | 23 ÷ 3 = 7 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 105 | 5355 |
| 115 and 174 | 20010 |
| 144 and 46 | 3312 |
| 138 and 181 | 24978 |
| 97 and 177 | 17169 |