Least Common Multiple (LCM) of 173 and 26
The least common multiple (LCM) of 173 and 26 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 173 and 26?
First, calculate the GCD of 173 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 26 = 6 remainder 17 |
| 2 | 26 ÷ 17 = 1 remainder 9 |
| 3 | 17 ÷ 9 = 1 remainder 8 |
| 4 | 9 ÷ 8 = 1 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 90 and 137 | 12330 |
| 100 and 165 | 3300 |
| 172 and 32 | 1376 |
| 136 and 15 | 2040 |
| 37 and 197 | 7289 |