Least Common Multiple of 7494 and 7496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7494 and 7496 the smallest integer that is 28087512 that is divisible by both numbers.

Least Common Multiple (LCM) of 7494 and 7496 is 28087512.

LCM(7494,7496) = 28087512

LCM of 7494 and 7496

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

LCM of:
and

Least Common Multiple of 7494 and 7496

LCM of 7494 and 7496 is 28087512

Least common multiple can be found by multiplying the highest exponent prime factors of 7494 and 7496. First we will calculate the prime factors of 7494 and 7496.

Prime Factorization of 7494


2 7494
3 3747
1249 1249
1

Prime factors of 7494 are 2, 3,1249. Prime factorization of 7494 in exponential form is:

7494 = 21×31×12491

Prime Factorization of 7496


2 7496
2 3748
2 1874
937 937
1

Prime factors of 7496 are 2,937. Prime factorization of 7496 in exponential form is:

7496 = 23×9371

Now multiplying the highest exponent prime factors to calculate the LCM of 7494 and 7496.

LCM(7494,7496) = 23×31×9371×12491
LCM(7494,7496) = 28087512

Factors of 7494

List of positive integer factors of 7494 that divides 7494 without a remainder.

1, 2, 3, 6, 1249, 2498, 3747, 7494

Factors of 7496

List of positive integer factors of 7496 that divides 7496 without a remainder.

1, 2, 4, 8, 937, 1874, 3748, 7496

Least Common Multiple of 7494 and 7496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7494 and 7496, than apply into the LCM equation.

GCF(7494,7496) = 2
LCM(7494,7496) = ( 7494 × 7496) / 2
LCM(7494,7496) = 56175024 / 2
LCM(7494,7496) = 28087512

Properties of LCM 7494 and 7496

(i) The LCM of 7496 and 7494 is associative

LCM of 7494 and 7496 = LCM of 7496 and 7494

Related Least Common Multiples of 7494

Related Least Common Multiples of 7496

Frequently Asked Questions on LCM of 7494 and 7496

1. What is the LCM of 7494 and 7496?

Answer: LCM of 7494 and 7496 is 28087512.

2. What are the Factors of 7494?

Answer: Factors of 7494 are 1, 2, 3, 6, 1249, 2498, 3747, 7494. There are 8 integers that are factors of 7494. The greatest factor of 7494 is 7494.

3. What are the Factors of 7496?

Answer: Factors of 7496 are 1, 2, 4, 8, 937, 1874, 3748, 7496. There are 8 integers that are factors of 7496. The greatest factor of 7496 is 7496.

4. How to Find the LCM of 7494 and 7496?

Answer:

Least Common Multiple of 7494 and 7496 = 28087512

Step 1: Find the prime factorization of 7494

7494 = 2 x 3 x 1249

Step 2: Find the prime factorization of 7496

7496 = 2 x 2 x 2 x 937

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

LCM = 28087512 = 2 x 2 x 2 x 3 x 937 x 1249

Step 4: Therefore, the least common multiple of 7494 and 7496 is 28087512.