Least Common Multiple (LCM) of 163 and 73
The least common multiple (LCM) of 163 and 73 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 163 and 73?
First, calculate the GCD of 163 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 73 = 2 remainder 17 |
| 2 | 73 ÷ 17 = 4 remainder 5 |
| 3 | 17 ÷ 5 = 3 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 162 | 7614 |
| 39 and 184 | 7176 |
| 70 and 147 | 1470 |
| 167 and 91 | 15197 |
| 81 and 81 | 81 |