Least Common Multiple (LCM) of 73 and 56
The least common multiple (LCM) of 73 and 56 is 4088.
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 56?
First, calculate the GCD of 73 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 56 = 1 remainder 17 |
| 2 | 56 ÷ 17 = 3 remainder 5 |
| 3 | 17 ÷ 5 = 3 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 101 | 3131 |
| 53 and 195 | 10335 |
| 191 and 196 | 37436 |
| 187 and 113 | 21131 |
| 77 and 17 | 1309 |