Least Common Multiple (LCM) of 73 and 185
The least common multiple (LCM) of 73 and 185 is 13505.
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 185?
First, calculate the GCD of 73 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 185 = 0 remainder 73 |
| 2 | 185 ÷ 73 = 2 remainder 39 |
| 3 | 73 ÷ 39 = 1 remainder 34 |
| 4 | 39 ÷ 34 = 1 remainder 5 |
| 5 | 34 ÷ 5 = 6 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 83 and 92 | 7636 |
| 174 and 104 | 9048 |
| 116 and 140 | 4060 |
| 165 and 41 | 6765 |
| 140 and 74 | 5180 |