Least Common Multiple of 7481 and 7484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7481 and 7484 the smallest integer that is 55987804 that is divisible by both numbers.

Least Common Multiple (LCM) of 7481 and 7484 is 55987804.

LCM(7481,7484) = 55987804

LCM of 7481 and 7484

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

LCM of:
and

Least Common Multiple of 7481 and 7484

LCM of 7481 and 7484 is 55987804

Least common multiple can be found by multiplying the highest exponent prime factors of 7481 and 7484. First we will calculate the prime factors of 7481 and 7484.

Prime Factorization of 7481


7481 7481
1

Prime factors of 7481 are 7481. Prime factorization of 7481 in exponential form is:

7481 = 74811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7481 and 7484.

LCM(7481,7484) = 22×18711×74811
LCM(7481,7484) = 55987804

Factors of 7481

List of positive integer factors of 7481 that divides 7481 without a remainder.

1, 7481

Factors of 7484

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

1, 2, 4, 1871, 3742, 7484

Least Common Multiple of 7481 and 7484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7481 and 7484, than apply into the LCM equation.

GCF(7481,7484) = 1
LCM(7481,7484) = ( 7481 × 7484) / 1
LCM(7481,7484) = 55987804 / 1
LCM(7481,7484) = 55987804

Properties of LCM 7481 and 7484

(i) The LCM of 7484 and 7481 is associative

LCM of 7481 and 7484 = LCM of 7484 and 7481

Related Least Common Multiples of 7481

Related Least Common Multiples of 7484

Frequently Asked Questions on LCM of 7481 and 7484

1. What is the LCM of 7481 and 7484?

Answer: LCM of 7481 and 7484 is 55987804.

2. What are the Factors of 7481?

Answer: Factors of 7481 are 1, 7481. There are 2 integers that are factors of 7481. The greatest factor of 7481 is 7481.

3. 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.

4. How to Find the LCM of 7481 and 7484?

Answer:

Least Common Multiple of 7481 and 7484 = 55987804

Step 1: Find the prime factorization of 7481

7481 = 7481

Step 2: Find the prime factorization of 7484

7484 = 2 x 2 x 1871

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

LCM = 55987804 = 2 x 2 x 1871 x 7481

Step 4: Therefore, the least common multiple of 7481 and 7484 is 55987804.