Least Common Multiple of 9496 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 9496 and 9503 the smallest integer that is 90240488 that is divisible by both numbers.

Least Common Multiple (LCM) of 9496 and 9503 is 90240488.

LCM(9496,9503) = 90240488

LCM of 9496 and 9503

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

LCM of:
and

Least Common Multiple of 9496 and 9503

LCM of 9496 and 9503 is 90240488

Least common multiple can be found by multiplying the highest exponent prime factors of 9496 and 9503. First we will calculate the prime factors of 9496 and 9503.

Prime Factorization of 9496


2 9496
2 4748
2 2374
1187 1187
1

Prime factors of 9496 are 2,1187. Prime factorization of 9496 in exponential form is:

9496 = 23×11871

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 9496 and 9503.

LCM(9496,9503) = 23×131×171×431×11871
LCM(9496,9503) = 90240488

Factors of 9496

List of positive integer factors of 9496 that divides 9496 without a remainder.

1, 2, 4, 8, 1187, 2374, 4748, 9496

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 9496 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 9496 and 9503, than apply into the LCM equation.

GCF(9496,9503) = 1
LCM(9496,9503) = ( 9496 × 9503) / 1
LCM(9496,9503) = 90240488 / 1
LCM(9496,9503) = 90240488

Properties of LCM 9496 and 9503

(i) The LCM of 9503 and 9496 is associative

LCM of 9496 and 9503 = LCM of 9503 and 9496

Related Least Common Multiples of 9496

Related Least Common Multiples of 9503

Frequently Asked Questions on LCM of 9496 and 9503

1. What is the LCM of 9496 and 9503?

Answer: LCM of 9496 and 9503 is 90240488.

2. What are the Factors of 9496?

Answer: Factors of 9496 are 1, 2, 4, 8, 1187, 2374, 4748, 9496. There are 8 integers that are factors of 9496. The greatest factor of 9496 is 9496.

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 9496 and 9503?

Answer:

Least Common Multiple of 9496 and 9503 = 90240488

Step 1: Find the prime factorization of 9496

9496 = 2 x 2 x 2 x 1187

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 = 90240488 = 2 x 2 x 2 x 13 x 17 x 43 x 1187

Step 4: Therefore, the least common multiple of 9496 and 9503 is 90240488.