Least Common Multiple (LCM) of 185 and 44
The least common multiple (LCM) of 185 and 44 is 8140.
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 185 and 44?
First, calculate the GCD of 185 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 44 = 4 remainder 9 |
| 2 | 44 ÷ 9 = 4 remainder 8 |
| 3 | 9 ÷ 8 = 1 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 19 and 21 | 399 |
| 64 and 70 | 2240 |
| 53 and 54 | 2862 |
| 40 and 14 | 280 |
| 123 and 182 | 22386 |