Least Common Multiple (LCM) of 56 and 163
The least common multiple (LCM) of 56 and 163 is 9128.
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 163?
First, calculate the GCD of 56 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 56 ÷ 163 = 0 remainder 56 |
| 2 | 163 ÷ 56 = 2 remainder 51 |
| 3 | 56 ÷ 51 = 1 remainder 5 |
| 4 | 51 ÷ 5 = 10 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 104 | 1976 |
| 189 and 193 | 36477 |
| 68 and 177 | 12036 |
| 49 and 112 | 784 |
| 14 and 49 | 98 |