Least Common Multiple (LCM) of 73 and 93
The least common multiple (LCM) of 73 and 93 is 6789.
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 93?
First, calculate the GCD of 73 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 93 = 0 remainder 73 |
| 2 | 93 ÷ 73 = 1 remainder 20 |
| 3 | 73 ÷ 20 = 3 remainder 13 |
| 4 | 20 ÷ 13 = 1 remainder 7 |
| 5 | 13 ÷ 7 = 1 remainder 6 |
| 6 | 7 ÷ 6 = 1 remainder 1 |
| 7 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 161 | 21252 |
| 12 and 28 | 84 |
| 107 and 13 | 1391 |
| 55 and 198 | 990 |
| 18 and 147 | 882 |