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 |
|---|---|
| 89 and 19 | 1691 |
| 38 and 161 | 6118 |
| 109 and 72 | 7848 |
| 10 and 158 | 790 |
| 158 and 162 | 12798 |