Least Common Multiple (LCM) of 183 and 73
The least common multiple (LCM) of 183 and 73 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 183 and 73?
First, calculate the GCD of 183 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 73 = 2 remainder 37 |
| 2 | 73 ÷ 37 = 1 remainder 36 |
| 3 | 37 ÷ 36 = 1 remainder 1 |
| 4 | 36 ÷ 1 = 36 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 175 | 525 |
| 47 and 106 | 4982 |
| 65 and 49 | 3185 |
| 85 and 115 | 1955 |
| 24 and 53 | 1272 |