Least Common Multiple (LCM) of 162 and 43
The least common multiple (LCM) of 162 and 43 is 6966.
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 162 and 43?
First, calculate the GCD of 162 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 43 = 3 remainder 33 |
| 2 | 43 ÷ 33 = 1 remainder 10 |
| 3 | 33 ÷ 10 = 3 remainder 3 |
| 4 | 10 ÷ 3 = 3 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 61 and 69 | 4209 |
| 149 and 132 | 19668 |
| 173 and 190 | 32870 |
| 82 and 163 | 13366 |
| 165 and 145 | 4785 |