Least Common Multiple of 9498 and 9503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9498 and 9503 the smallest integer that is 90259494 that is divisible by both numbers.

Least Common Multiple (LCM) of 9498 and 9503 is 90259494.

LCM(9498,9503) = 90259494

LCM of 9498 and 9503

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

LCM of:
and

Least Common Multiple of 9498 and 9503

LCM of 9498 and 9503 is 90259494

Least common multiple can be found by multiplying the highest exponent prime factors of 9498 and 9503. First we will calculate the prime factors of 9498 and 9503.

Prime Factorization of 9498


2 9498
3 4749
1583 1583
1

Prime factors of 9498 are 2, 3,1583. Prime factorization of 9498 in exponential form is:

9498 = 21×31×15831

Prime Factorization of 9503


13 9503
17 731
43 43
1

Prime factors of 9503 are 13, 17,43. Prime factorization of 9503 in exponential form is:

9503 = 131×171×431

Now multiplying the highest exponent prime factors to calculate the LCM of 9498 and 9503.

LCM(9498,9503) = 21×31×131×171×431×15831
LCM(9498,9503) = 90259494

Factors of 9498

List of positive integer factors of 9498 that divides 9498 without a remainder.

1, 2, 3, 6, 1583, 3166, 4749, 9498

Factors of 9503

List of positive integer factors of 9503 that divides 9503 without a remainder.

1, 13, 17, 43, 221, 559, 731, 9503

Least Common Multiple of 9498 and 9503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9498 and 9503, than apply into the LCM equation.

GCF(9498,9503) = 1
LCM(9498,9503) = ( 9498 × 9503) / 1
LCM(9498,9503) = 90259494 / 1
LCM(9498,9503) = 90259494

Properties of LCM 9498 and 9503

(i) The LCM of 9503 and 9498 is associative

LCM of 9498 and 9503 = LCM of 9503 and 9498

Related Least Common Multiples of 9498

Related Least Common Multiples of 9503

Frequently Asked Questions on LCM of 9498 and 9503

1. What is the LCM of 9498 and 9503?

Answer: LCM of 9498 and 9503 is 90259494.

2. What are the Factors of 9498?

Answer: Factors of 9498 are 1, 2, 3, 6, 1583, 3166, 4749, 9498. There are 8 integers that are factors of 9498. The greatest factor of 9498 is 9498.

3. What are the Factors of 9503?

Answer: Factors of 9503 are 1, 13, 17, 43, 221, 559, 731, 9503. There are 8 integers that are factors of 9503. The greatest factor of 9503 is 9503.

4. How to Find the LCM of 9498 and 9503?

Answer:

Least Common Multiple of 9498 and 9503 = 90259494

Step 1: Find the prime factorization of 9498

9498 = 2 x 3 x 1583

Step 2: Find the prime factorization of 9503

9503 = 13 x 17 x 43

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

LCM = 90259494 = 2 x 3 x 13 x 17 x 43 x 1583

Step 4: Therefore, the least common multiple of 9498 and 9503 is 90259494.