Least Common Multiple (LCM) of 193 and 174
The least common multiple (LCM) of 193 and 174 is 33582.
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 193 and 174?
First, calculate the GCD of 193 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 174 = 1 remainder 19 |
| 2 | 174 ÷ 19 = 9 remainder 3 |
| 3 | 19 ÷ 3 = 6 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 97 | 15423 |
| 64 and 113 | 7232 |
| 159 and 152 | 24168 |
| 123 and 93 | 3813 |
| 198 and 81 | 1782 |