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 |
|---|---|
| 172 and 168 | 7224 |
| 46 and 101 | 4646 |
| 32 and 129 | 4128 |
| 45 and 93 | 1395 |
| 181 and 68 | 12308 |