Least Common Multiple (LCM) of 73 and 47
The least common multiple (LCM) of 73 and 47 is 3431.
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 47?
First, calculate the GCD of 73 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 47 = 1 remainder 26 |
| 2 | 47 ÷ 26 = 1 remainder 21 |
| 3 | 26 ÷ 21 = 1 remainder 5 |
| 4 | 21 ÷ 5 = 4 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 184 | 29992 |
| 89 and 110 | 9790 |
| 128 and 93 | 11904 |
| 188 and 91 | 17108 |
| 140 and 172 | 6020 |