Question

What is the LCM of 2 and 11?

Answer 1

Hint: LCM or least common multiple is the simplest method to find out the smallest common multiples between two or more than two numbers. Generally, the common multiple is a number which is a multiple of two or more than two numbers.

Complete step by step solution:
We have 2 and 11.
We can find the LCM by using the factorization method.
We know that the factors of 2 are 2 and 1 only.
The factors of 11 are 1 and 11 only.
Then the LCM of 2 and 11 are \[ \Rightarrow 1 \times 2 \times 11\].
That is \[ \Rightarrow 22\]
Hence the LCM of 2 and 11 is 22.
So, the correct answer is “22”.

Note: We know that if we have a LCM of prime numbers, then their LCM is their product itself. That is \[2 \times 11 = 22\]. We also have HCF or the highest common factor. That is the largest common factor of all the given numbers is known as the Highest common factor of the number. The HCF of 2 and 11 is 1 (from above factors).