Least Common Multiple of 7483 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 7483 and 7484 the smallest integer that is 56002772 that is divisible by both numbers.

Least Common Multiple (LCM) of 7483 and 7484 is 56002772.

LCM(7483,7484) = 56002772

LCM of 7483 and 7484

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

LCM of:
and

Least Common Multiple of 7483 and 7484

LCM of 7483 and 7484 is 56002772

Least common multiple can be found by multiplying the highest exponent prime factors of 7483 and 7484. First we will calculate the prime factors of 7483 and 7484.

Prime Factorization of 7483


7 7483
1069 1069
1

Prime factors of 7483 are 7,1069. Prime factorization of 7483 in exponential form is:

7483 = 71×10691

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 7483 and 7484.

LCM(7483,7484) = 22×71×10691×18711
LCM(7483,7484) = 56002772

Factors of 7483

List of positive integer factors of 7483 that divides 7483 without a remainder.

1, 7, 1069, 7483

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 7483 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 7483 and 7484, than apply into the LCM equation.

GCF(7483,7484) = 1
LCM(7483,7484) = ( 7483 × 7484) / 1
LCM(7483,7484) = 56002772 / 1
LCM(7483,7484) = 56002772

Properties of LCM 7483 and 7484

(i) The LCM of 7484 and 7483 is associative

LCM of 7483 and 7484 = LCM of 7484 and 7483

Related Least Common Multiples of 7483

Related Least Common Multiples of 7484

Frequently Asked Questions on LCM of 7483 and 7484

1. What is the LCM of 7483 and 7484?

Answer: LCM of 7483 and 7484 is 56002772.

2. What are the Factors of 7483?

Answer: Factors of 7483 are 1, 7, 1069, 7483. There are 4 integers that are factors of 7483. The greatest factor of 7483 is 7483.

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 7483 and 7484?

Answer:

Least Common Multiple of 7483 and 7484 = 56002772

Step 1: Find the prime factorization of 7483

7483 = 7 x 1069

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 = 56002772 = 2 x 2 x 7 x 1069 x 1871

Step 4: Therefore, the least common multiple of 7483 and 7484 is 56002772.