Least Common Multiple (LCM) of 26 and 173
The least common multiple (LCM) of 26 and 173 is 4498.
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 173?
First, calculate the GCD of 26 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 26 ÷ 173 = 0 remainder 26 |
| 2 | 173 ÷ 26 = 6 remainder 17 |
| 3 | 26 ÷ 17 = 1 remainder 9 |
| 4 | 17 ÷ 9 = 1 remainder 8 |
| 5 | 9 ÷ 8 = 1 remainder 1 |
| 6 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 118 | 4720 |
| 30 and 29 | 870 |
| 143 and 107 | 15301 |
| 31 and 191 | 5921 |
| 31 and 181 | 5611 |