Least Common Multiple (LCM) of 51 and 163
The least common multiple (LCM) of 51 and 163 is 8313.
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 51 and 163?
First, calculate the GCD of 51 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 51 ÷ 163 = 0 remainder 51 |
| 2 | 163 ÷ 51 = 3 remainder 10 |
| 3 | 51 ÷ 10 = 5 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 46 and 78 | 1794 |
| 179 and 176 | 31504 |
| 37 and 128 | 4736 |
| 80 and 34 | 1360 |
| 103 and 195 | 20085 |