Least Common Multiple of 9742 and 9748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9742 and 9748 the smallest integer that is 47482508 that is divisible by both numbers.

Least Common Multiple (LCM) of 9742 and 9748 is 47482508.

LCM(9742,9748) = 47482508

LCM of 9742 and 9748

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 9742 and 9748

LCM of 9742 and 9748 is 47482508

Least common multiple can be found by multiplying the highest exponent prime factors of 9742 and 9748. First we will calculate the prime factors of 9742 and 9748.

Prime Factorization of 9742


2 9742
4871 4871
1

Prime factors of 9742 are 2,4871. Prime factorization of 9742 in exponential form is:

9742 = 21×48711

Prime Factorization of 9748


2 9748
2 4874
2437 2437
1

Prime factors of 9748 are 2,2437. Prime factorization of 9748 in exponential form is:

9748 = 22×24371

Now multiplying the highest exponent prime factors to calculate the LCM of 9742 and 9748.

LCM(9742,9748) = 22×24371×48711
LCM(9742,9748) = 47482508

Factors of 9742

List of positive integer factors of 9742 that divides 9742 without a remainder.

1, 2, 4871, 9742

Factors of 9748

List of positive integer factors of 9748 that divides 9748 without a remainder.

1, 2, 4, 2437, 4874, 9748

Least Common Multiple of 9742 and 9748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9742 and 9748, than apply into the LCM equation.

GCF(9742,9748) = 2
LCM(9742,9748) = ( 9742 × 9748) / 2
LCM(9742,9748) = 94965016 / 2
LCM(9742,9748) = 47482508

Properties of LCM 9742 and 9748

(i) The LCM of 9748 and 9742 is associative

LCM of 9742 and 9748 = LCM of 9748 and 9742

Related Least Common Multiples of 9742

Related Least Common Multiples of 9748

Frequently Asked Questions on LCM of 9742 and 9748

1. What is the LCM of 9742 and 9748?

Answer: LCM of 9742 and 9748 is 47482508.

2. What are the Factors of 9742?

Answer: Factors of 9742 are 1, 2, 4871, 9742. There are 4 integers that are factors of 9742. The greatest factor of 9742 is 9742.

3. What are the Factors of 9748?

Answer: Factors of 9748 are 1, 2, 4, 2437, 4874, 9748. There are 6 integers that are factors of 9748. The greatest factor of 9748 is 9748.

4. How to Find the LCM of 9742 and 9748?

Answer:

Least Common Multiple of 9742 and 9748 = 47482508

Step 1: Find the prime factorization of 9742

9742 = 2 x 4871

Step 2: Find the prime factorization of 9748

9748 = 2 x 2 x 2437

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 47482508 = 2 x 2 x 2437 x 4871

Step 4: Therefore, the least common multiple of 9742 and 9748 is 47482508.