Question

2. The HCF of two numbers 14 and 28 is 14. Find the LCM.​

Answer 1

answer is 28

Answer:

GCF of 14 and 28 is 14

Two methods to find the GCF of 14 and 28 are explained below.

Methods to find GCF of 14 and 28

GCF of 14 and 28 by Long Division

GCF of 14 and 28 by Prime factorization

Method 1: GCF of 14 and 28 by Long Division

Step 1: Divide 14 by 28 and check the remainder.

Step 2: Make the remainder of the above step as the divisor and the divisor of the above step as the dividend and perform the long division again.

Step 3: Continue till you get the remainder as 0

GCF of 14 and 28 by Long Division

Method 2: GCF of 14 and 28 by Prime Factorization

We will express the numbers 14 and 28 as a product of their prime factors.

GCF of 14 and 28 by Prime Factorization

Prime factorization of 14 is 2 × 7

Prime factorization of 28 is 2 × 2 × 7

The common factors in both prime factorization = 2 × 7

GCF is the product of the prime factors that are common to the prime factorization of 14 and 28

So, GCF of 14 and 28 is 14

You can find the GCF in any of the above methods but the solution will be the same.

Thus, GCF of 14 and 28 is 14

Answer 2

Answer:

LCM is 28

Step-by-step explanation:

LCM will be 28

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