Question

How do you find the least common multiple of $6$ and $10$?

Answer 1

Hint:
To calculate the least common multiple (LCM), we have to choose between the common and uncommon factors that have the highest exponent. Factors are the number which completely divide the number without leaving any remainder behind.

Complete step by step solution:
Let us get all the possible factors of $6$ and $10$ with the help of prime factors of

Therefore, on writing $6$ and $10$ as a product of its prime factors, we get:
 \[6=2\times 3\]
\[10=2\times 5\]
Thus,
The LCM of a, b is the smallest positive number that is divisible by both a and b.
\[LCM=2\times 3\times 5=30\]

Hence, LCM of $6$ and $10$ is $30$.

Note:
1) The product of L.C.M. and H.C.F. of two numbers is also the product of the numbers.
2) To solve these types of questions easily if it is important to have knowledge of factors and prime factors of a number.