Least Common Multiple of 7489 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 7489 and 7496 the smallest integer that is 56137544 that is divisible by both numbers.

Least Common Multiple (LCM) of 7489 and 7496 is 56137544.

LCM(7489,7496) = 56137544

LCM of 7489 and 7496

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

LCM of:
and

Least Common Multiple of 7489 and 7496

LCM of 7489 and 7496 is 56137544

Least common multiple can be found by multiplying the highest exponent prime factors of 7489 and 7496. First we will calculate the prime factors of 7489 and 7496.

Prime Factorization of 7489


7489 7489
1

Prime factors of 7489 are 7489. Prime factorization of 7489 in exponential form is:

7489 = 74891

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 7489 and 7496.

LCM(7489,7496) = 23×9371×74891
LCM(7489,7496) = 56137544

Factors of 7489

List of positive integer factors of 7489 that divides 7489 without a remainder.

1, 7489

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 7489 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 7489 and 7496, than apply into the LCM equation.

GCF(7489,7496) = 1
LCM(7489,7496) = ( 7489 × 7496) / 1
LCM(7489,7496) = 56137544 / 1
LCM(7489,7496) = 56137544

Properties of LCM 7489 and 7496

(i) The LCM of 7496 and 7489 is associative

LCM of 7489 and 7496 = LCM of 7496 and 7489

Related Least Common Multiples of 7489

Related Least Common Multiples of 7496

Frequently Asked Questions on LCM of 7489 and 7496

1. What is the LCM of 7489 and 7496?

Answer: LCM of 7489 and 7496 is 56137544.

2. What are the Factors of 7489?

Answer: Factors of 7489 are 1, 7489. There are 2 integers that are factors of 7489. The greatest factor of 7489 is 7489.

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 7489 and 7496?

Answer:

Least Common Multiple of 7489 and 7496 = 56137544

Step 1: Find the prime factorization of 7489

7489 = 7489

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 = 56137544 = 2 x 2 x 2 x 937 x 7489

Step 4: Therefore, the least common multiple of 7489 and 7496 is 56137544.