Least Common Multiple of 9738 and 9742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9738 and 9742 the smallest integer that is 47433798 that is divisible by both numbers.

Least Common Multiple (LCM) of 9738 and 9742 is 47433798.

LCM(9738,9742) = 47433798

LCM of 9738 and 9742

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

LCM of:
and

Least Common Multiple of 9738 and 9742

LCM of 9738 and 9742 is 47433798

Least common multiple can be found by multiplying the highest exponent prime factors of 9738 and 9742. First we will calculate the prime factors of 9738 and 9742.

Prime Factorization of 9738


2 9738
3 4869
3 1623
541 541
1

Prime factors of 9738 are 2, 3,541. Prime factorization of 9738 in exponential form is:

9738 = 21×32×5411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9738 and 9742.

LCM(9738,9742) = 21×32×5411×48711
LCM(9738,9742) = 47433798

Factors of 9738

List of positive integer factors of 9738 that divides 9738 without a remainder.

1, 2, 3, 6, 9, 18, 541, 1082, 1623, 3246, 4869, 9738

Factors of 9742

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

1, 2, 4871, 9742

Least Common Multiple of 9738 and 9742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9738 and 9742, than apply into the LCM equation.

GCF(9738,9742) = 2
LCM(9738,9742) = ( 9738 × 9742) / 2
LCM(9738,9742) = 94867596 / 2
LCM(9738,9742) = 47433798

Properties of LCM 9738 and 9742

(i) The LCM of 9742 and 9738 is associative

LCM of 9738 and 9742 = LCM of 9742 and 9738

Related Least Common Multiples of 9738

Related Least Common Multiples of 9742

Frequently Asked Questions on LCM of 9738 and 9742

1. What is the LCM of 9738 and 9742?

Answer: LCM of 9738 and 9742 is 47433798.

2. What are the Factors of 9738?

Answer: Factors of 9738 are 1, 2, 3, 6, 9, 18, 541, 1082, 1623, 3246, 4869, 9738. There are 12 integers that are factors of 9738. The greatest factor of 9738 is 9738.

3. 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.

4. How to Find the LCM of 9738 and 9742?

Answer:

Least Common Multiple of 9738 and 9742 = 47433798

Step 1: Find the prime factorization of 9738

9738 = 2 x 3 x 3 x 541

Step 2: Find the prime factorization of 9742

9742 = 2 x 4871

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

LCM = 47433798 = 2 x 3 x 3 x 541 x 4871

Step 4: Therefore, the least common multiple of 9738 and 9742 is 47433798.