Least Common Multiple of 9739 and 9747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9739 and 9747 the smallest integer that is 94926033 that is divisible by both numbers.

Least Common Multiple (LCM) of 9739 and 9747 is 94926033.

LCM(9739,9747) = 94926033

LCM of 9739 and 9747

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

LCM of:
and

Least Common Multiple of 9739 and 9747

LCM of 9739 and 9747 is 94926033

Least common multiple can be found by multiplying the highest exponent prime factors of 9739 and 9747. First we will calculate the prime factors of 9739 and 9747.

Prime Factorization of 9739


9739 9739
1

Prime factors of 9739 are 9739. Prime factorization of 9739 in exponential form is:

9739 = 97391

Prime Factorization of 9747


3 9747
3 3249
3 1083
19 361
19 19
1

Prime factors of 9747 are 3,19. Prime factorization of 9747 in exponential form is:

9747 = 33×192

Now multiplying the highest exponent prime factors to calculate the LCM of 9739 and 9747.

LCM(9739,9747) = 33×192×97391
LCM(9739,9747) = 94926033

Factors of 9739

List of positive integer factors of 9739 that divides 9739 without a remainder.

1, 9739

Factors of 9747

List of positive integer factors of 9747 that divides 9747 without a remainder.

1, 3, 9, 19, 27, 57, 171, 361, 513, 1083, 3249, 9747

Least Common Multiple of 9739 and 9747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9739 and 9747, than apply into the LCM equation.

GCF(9739,9747) = 1
LCM(9739,9747) = ( 9739 × 9747) / 1
LCM(9739,9747) = 94926033 / 1
LCM(9739,9747) = 94926033

Properties of LCM 9739 and 9747

(i) The LCM of 9747 and 9739 is associative

LCM of 9739 and 9747 = LCM of 9747 and 9739

Related Least Common Multiples of 9739

Related Least Common Multiples of 9747

Frequently Asked Questions on LCM of 9739 and 9747

1. What is the LCM of 9739 and 9747?

Answer: LCM of 9739 and 9747 is 94926033.

2. What are the Factors of 9739?

Answer: Factors of 9739 are 1, 9739. There are 2 integers that are factors of 9739. The greatest factor of 9739 is 9739.

3. What are the Factors of 9747?

Answer: Factors of 9747 are 1, 3, 9, 19, 27, 57, 171, 361, 513, 1083, 3249, 9747. There are 12 integers that are factors of 9747. The greatest factor of 9747 is 9747.

4. How to Find the LCM of 9739 and 9747?

Answer:

Least Common Multiple of 9739 and 9747 = 94926033

Step 1: Find the prime factorization of 9739

9739 = 9739

Step 2: Find the prime factorization of 9747

9747 = 3 x 3 x 3 x 19 x 19

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

LCM = 94926033 = 3 x 3 x 3 x 19 x 19 x 9739

Step 4: Therefore, the least common multiple of 9739 and 9747 is 94926033.