Least Common Multiple (LCM) of 73 and 99
The least common multiple (LCM) of 73 and 99 is 7227.
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 99?
First, calculate the GCD of 73 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 99 = 0 remainder 73 |
| 2 | 99 ÷ 73 = 1 remainder 26 |
| 3 | 73 ÷ 26 = 2 remainder 21 |
| 4 | 26 ÷ 21 = 1 remainder 5 |
| 5 | 21 ÷ 5 = 4 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 197 | 15366 |
| 185 and 142 | 26270 |
| 97 and 122 | 11834 |
| 75 and 83 | 6225 |
| 17 and 65 | 1105 |