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 |
|---|---|
| 125 and 55 | 1375 |
| 188 and 136 | 6392 |
| 20 and 179 | 3580 |
| 78 and 127 | 9906 |
| 74 and 170 | 6290 |