Least Common Multiple (LCM) of 43 and 185
The least common multiple (LCM) of 43 and 185 is 7955.
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 43 and 185?
First, calculate the GCD of 43 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 43 ÷ 185 = 0 remainder 43 |
| 2 | 185 ÷ 43 = 4 remainder 13 |
| 3 | 43 ÷ 13 = 3 remainder 4 |
| 4 | 13 ÷ 4 = 3 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 125 | 8875 |
| 104 and 176 | 2288 |
| 112 and 130 | 7280 |
| 191 and 115 | 21965 |
| 192 and 140 | 6720 |