Least Common Multiple (LCM) of 163 and 51
The least common multiple (LCM) of 163 and 51 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 163 and 51?
First, calculate the GCD of 163 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 51 = 3 remainder 10 |
| 2 | 51 ÷ 10 = 5 remainder 1 |
| 3 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 61 and 143 | 8723 |
| 195 and 41 | 7995 |
| 169 and 82 | 13858 |
| 174 and 138 | 4002 |
| 193 and 13 | 2509 |