Least Common Multiple (LCM) of 73 and 183
The least common multiple (LCM) of 73 and 183 is 13359.
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 183?
First, calculate the GCD of 73 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 183 = 0 remainder 73 |
| 2 | 183 ÷ 73 = 2 remainder 37 |
| 3 | 73 ÷ 37 = 1 remainder 36 |
| 4 | 37 ÷ 36 = 1 remainder 1 |
| 5 | 36 ÷ 1 = 36 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 47 and 144 | 6768 |
| 37 and 180 | 6660 |
| 128 and 99 | 12672 |
| 103 and 161 | 16583 |
| 171 and 31 | 5301 |