Least Common Multiple (LCM) of 73 and 163
The least common multiple (LCM) of 73 and 163 is 11899.
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 73 and 163?
First, calculate the GCD of 73 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 163 = 0 remainder 73 |
| 2 | 163 ÷ 73 = 2 remainder 17 |
| 3 | 73 ÷ 17 = 4 remainder 5 |
| 4 | 17 ÷ 5 = 3 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 67 and 67 | 67 |
| 72 and 71 | 5112 |
| 119 and 22 | 2618 |
| 15 and 186 | 930 |
| 83 and 178 | 14774 |