Least Common Multiple (LCM) of 73 and 90
The least common multiple (LCM) of 73 and 90 is 6570.
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 73 and 90?
First, calculate the GCD of 73 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 90 = 0 remainder 73 |
| 2 | 90 ÷ 73 = 1 remainder 17 |
| 3 | 73 ÷ 17 = 4 remainder 5 |
| 4 | 17 ÷ 5 = 3 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 37 | 7252 |
| 196 and 194 | 19012 |
| 83 and 161 | 13363 |
| 141 and 177 | 8319 |
| 195 and 54 | 3510 |