Least Common Multiple of 9538 and 9539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9538 and 9539 the smallest integer that is 90982982 that is divisible by both numbers.

Least Common Multiple (LCM) of 9538 and 9539 is 90982982.

LCM(9538,9539) = 90982982

LCM of 9538 and 9539

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

LCM of:
and

Least Common Multiple of 9538 and 9539

LCM of 9538 and 9539 is 90982982

Least common multiple can be found by multiplying the highest exponent prime factors of 9538 and 9539. First we will calculate the prime factors of 9538 and 9539.

Prime Factorization of 9538


2 9538
19 4769
251 251
1

Prime factors of 9538 are 2, 19,251. Prime factorization of 9538 in exponential form is:

9538 = 21×191×2511

Prime Factorization of 9539


9539 9539
1

Prime factors of 9539 are 9539. Prime factorization of 9539 in exponential form is:

9539 = 95391

Now multiplying the highest exponent prime factors to calculate the LCM of 9538 and 9539.

LCM(9538,9539) = 21×191×2511×95391
LCM(9538,9539) = 90982982

Factors of 9538

List of positive integer factors of 9538 that divides 9538 without a remainder.

1, 2, 19, 38, 251, 502, 4769, 9538

Factors of 9539

List of positive integer factors of 9539 that divides 9539 without a remainder.

1, 9539

Least Common Multiple of 9538 and 9539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9538 and 9539, than apply into the LCM equation.

GCF(9538,9539) = 1
LCM(9538,9539) = ( 9538 × 9539) / 1
LCM(9538,9539) = 90982982 / 1
LCM(9538,9539) = 90982982

Properties of LCM 9538 and 9539

(i) The LCM of 9539 and 9538 is associative

LCM of 9538 and 9539 = LCM of 9539 and 9538

Related Least Common Multiples of 9538

Related Least Common Multiples of 9539

Frequently Asked Questions on LCM of 9538 and 9539

1. What is the LCM of 9538 and 9539?

Answer: LCM of 9538 and 9539 is 90982982.

2. What are the Factors of 9538?

Answer: Factors of 9538 are 1, 2, 19, 38, 251, 502, 4769, 9538. There are 8 integers that are factors of 9538. The greatest factor of 9538 is 9538.

3. What are the Factors of 9539?

Answer: Factors of 9539 are 1, 9539. There are 2 integers that are factors of 9539. The greatest factor of 9539 is 9539.

4. How to Find the LCM of 9538 and 9539?

Answer:

Least Common Multiple of 9538 and 9539 = 90982982

Step 1: Find the prime factorization of 9538

9538 = 2 x 19 x 251

Step 2: Find the prime factorization of 9539

9539 = 9539

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

LCM = 90982982 = 2 x 19 x 251 x 9539

Step 4: Therefore, the least common multiple of 9538 and 9539 is 90982982.