Least Common Multiple (LCM) of 56 and 159
The least common multiple (LCM) of 56 and 159 is 8904.
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 159?
First, calculate the GCD of 56 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 56 ÷ 159 = 0 remainder 56 |
| 2 | 159 ÷ 56 = 2 remainder 47 |
| 3 | 56 ÷ 47 = 1 remainder 9 |
| 4 | 47 ÷ 9 = 5 remainder 2 |
| 5 | 9 ÷ 2 = 4 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 71 | 14058 |
| 110 and 192 | 10560 |
| 169 and 123 | 20787 |
| 177 and 199 | 35223 |
| 139 and 62 | 8618 |