Least Common Multiple (LCM) of 193 and 90
The least common multiple (LCM) of 193 and 90 is 17370.
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 90?
First, calculate the GCD of 193 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 90 = 2 remainder 13 |
| 2 | 90 ÷ 13 = 6 remainder 12 |
| 3 | 13 ÷ 12 = 1 remainder 1 |
| 4 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 25 and 162 | 4050 |
| 65 and 75 | 975 |
| 18 and 149 | 2682 |
| 109 and 181 | 19729 |
| 161 and 53 | 8533 |