Least Common Multiple of 9496 and 9502

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 9502 the smallest integer that is 45115496 that is divisible by both numbers.

Least Common Multiple (LCM) of 9496 and 9502 is 45115496.

LCM(9496,9502) = 45115496

LCM of 9496 and 9502

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

LCM of:
and

Least Common Multiple of 9496 and 9502

LCM of 9496 and 9502 is 45115496

Least common multiple can be found by multiplying the highest exponent prime factors of 9496 and 9502. First we will calculate the prime factors of 9496 and 9502.

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 9502


2 9502
4751 4751
1

Prime factors of 9502 are 2,4751. Prime factorization of 9502 in exponential form is:

9502 = 21×47511

Now multiplying the highest exponent prime factors to calculate the LCM of 9496 and 9502.

LCM(9496,9502) = 23×11871×47511
LCM(9496,9502) = 45115496

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 9502

List of positive integer factors of 9502 that divides 9502 without a remainder.

1, 2, 4751, 9502

Least Common Multiple of 9496 and 9502 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 9502, than apply into the LCM equation.

GCF(9496,9502) = 2
LCM(9496,9502) = ( 9496 × 9502) / 2
LCM(9496,9502) = 90230992 / 2
LCM(9496,9502) = 45115496

Properties of LCM 9496 and 9502

(i) The LCM of 9502 and 9496 is associative

LCM of 9496 and 9502 = LCM of 9502 and 9496

Related Least Common Multiples of 9496

Related Least Common Multiples of 9502

Frequently Asked Questions on LCM of 9496 and 9502

1. What is the LCM of 9496 and 9502?

Answer: LCM of 9496 and 9502 is 45115496.

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 9502?

Answer: Factors of 9502 are 1, 2, 4751, 9502. There are 4 integers that are factors of 9502. The greatest factor of 9502 is 9502.

4. How to Find the LCM of 9496 and 9502?

Answer:

Least Common Multiple of 9496 and 9502 = 45115496

Step 1: Find the prime factorization of 9496

9496 = 2 x 2 x 2 x 1187

Step 2: Find the prime factorization of 9502

9502 = 2 x 4751

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

LCM = 45115496 = 2 x 2 x 2 x 1187 x 4751

Step 4: Therefore, the least common multiple of 9496 and 9502 is 45115496.