Least Common Multiple of 7484 and 7489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7484 and 7489 the smallest integer that is 56047676 that is divisible by both numbers.

Least Common Multiple (LCM) of 7484 and 7489 is 56047676.

LCM(7484,7489) = 56047676

LCM of 7484 and 7489

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

LCM of:
and

Least Common Multiple of 7484 and 7489

LCM of 7484 and 7489 is 56047676

Least common multiple can be found by multiplying the highest exponent prime factors of 7484 and 7489. First we will calculate the prime factors of 7484 and 7489.

Prime Factorization of 7484


2 7484
2 3742
1871 1871
1

Prime factors of 7484 are 2,1871. Prime factorization of 7484 in exponential form is:

7484 = 22×18711

Prime Factorization of 7489


7489 7489
1

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

7489 = 74891

Now multiplying the highest exponent prime factors to calculate the LCM of 7484 and 7489.

LCM(7484,7489) = 22×18711×74891
LCM(7484,7489) = 56047676

Factors of 7484

List of positive integer factors of 7484 that divides 7484 without a remainder.

1, 2, 4, 1871, 3742, 7484

Factors of 7489

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

1, 7489

Least Common Multiple of 7484 and 7489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7484 and 7489, than apply into the LCM equation.

GCF(7484,7489) = 1
LCM(7484,7489) = ( 7484 × 7489) / 1
LCM(7484,7489) = 56047676 / 1
LCM(7484,7489) = 56047676

Properties of LCM 7484 and 7489

(i) The LCM of 7489 and 7484 is associative

LCM of 7484 and 7489 = LCM of 7489 and 7484

Related Least Common Multiples of 7484

Related Least Common Multiples of 7489

Frequently Asked Questions on LCM of 7484 and 7489

1. What is the LCM of 7484 and 7489?

Answer: LCM of 7484 and 7489 is 56047676.

2. What are the Factors of 7484?

Answer: Factors of 7484 are 1, 2, 4, 1871, 3742, 7484. There are 6 integers that are factors of 7484. The greatest factor of 7484 is 7484.

3. 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.

4. How to Find the LCM of 7484 and 7489?

Answer:

Least Common Multiple of 7484 and 7489 = 56047676

Step 1: Find the prime factorization of 7484

7484 = 2 x 2 x 1871

Step 2: Find the prime factorization of 7489

7489 = 7489

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

LCM = 56047676 = 2 x 2 x 1871 x 7489

Step 4: Therefore, the least common multiple of 7484 and 7489 is 56047676.