Least Common Multiple (LCM) of 90 and 173
The least common multiple (LCM) of 90 and 173 is 15570.
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 90 and 173?
First, calculate the GCD of 90 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 90 ÷ 173 = 0 remainder 90 |
| 2 | 173 ÷ 90 = 1 remainder 83 |
| 3 | 90 ÷ 83 = 1 remainder 7 |
| 4 | 83 ÷ 7 = 11 remainder 6 |
| 5 | 7 ÷ 6 = 1 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 33 | 4884 |
| 66 and 193 | 12738 |
| 165 and 37 | 6105 |
| 173 and 18 | 3114 |
| 151 and 64 | 9664 |