Least Common Multiple (LCM) of 56 and 93
The least common multiple (LCM) of 56 and 93 is 5208.
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 56 and 93?
First, calculate the GCD of 56 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 56 ÷ 93 = 0 remainder 56 |
| 2 | 93 ÷ 56 = 1 remainder 37 |
| 3 | 56 ÷ 37 = 1 remainder 19 |
| 4 | 37 ÷ 19 = 1 remainder 18 |
| 5 | 19 ÷ 18 = 1 remainder 1 |
| 6 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 194 | 16684 |
| 105 and 62 | 6510 |
| 112 and 191 | 21392 |
| 190 and 200 | 3800 |
| 96 and 102 | 1632 |