Least Common Multiple (LCM) of 43 and 161
The least common multiple (LCM) of 43 and 161 is 6923.
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 161?
First, calculate the GCD of 43 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 43 ÷ 161 = 0 remainder 43 |
| 2 | 161 ÷ 43 = 3 remainder 32 |
| 3 | 43 ÷ 32 = 1 remainder 11 |
| 4 | 32 ÷ 11 = 2 remainder 10 |
| 5 | 11 ÷ 10 = 1 remainder 1 |
| 6 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 182 | 11648 |
| 192 and 126 | 4032 |
| 186 and 10 | 930 |
| 44 and 165 | 660 |
| 156 and 68 | 2652 |