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 |
|---|---|
| 146 and 199 | 29054 |
| 128 and 155 | 19840 |
| 20 and 102 | 1020 |
| 92 and 60 | 1380 |
| 57 and 165 | 3135 |