Least Common Multiple of 7484 and 7490

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 7490 the smallest integer that is 28027580 that is divisible by both numbers.

Least Common Multiple (LCM) of 7484 and 7490 is 28027580.

LCM(7484,7490) = 28027580

LCM of 7484 and 7490

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

LCM of:
and

Least Common Multiple of 7484 and 7490

LCM of 7484 and 7490 is 28027580

Least common multiple can be found by multiplying the highest exponent prime factors of 7484 and 7490. First we will calculate the prime factors of 7484 and 7490.

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 7490


2 7490
5 3745
7 749
107 107
1

Prime factors of 7490 are 2, 5, 7,107. Prime factorization of 7490 in exponential form is:

7490 = 21×51×71×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 7484 and 7490.

LCM(7484,7490) = 22×51×71×1071×18711
LCM(7484,7490) = 28027580

Factors of 7484

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

1, 2, 4, 1871, 3742, 7484

Factors of 7490

List of positive integer factors of 7490 that divides 7490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 107, 214, 535, 749, 1070, 1498, 3745, 7490

Least Common Multiple of 7484 and 7490 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 7490, than apply into the LCM equation.

GCF(7484,7490) = 2
LCM(7484,7490) = ( 7484 × 7490) / 2
LCM(7484,7490) = 56055160 / 2
LCM(7484,7490) = 28027580

Properties of LCM 7484 and 7490

(i) The LCM of 7490 and 7484 is associative

LCM of 7484 and 7490 = LCM of 7490 and 7484

Related Least Common Multiples of 7484

Related Least Common Multiples of 7490

Frequently Asked Questions on LCM of 7484 and 7490

1. What is the LCM of 7484 and 7490?

Answer: LCM of 7484 and 7490 is 28027580.

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 7490?

Answer: Factors of 7490 are 1, 2, 5, 7, 10, 14, 35, 70, 107, 214, 535, 749, 1070, 1498, 3745, 7490. There are 16 integers that are factors of 7490. The greatest factor of 7490 is 7490.

4. How to Find the LCM of 7484 and 7490?

Answer:

Least Common Multiple of 7484 and 7490 = 28027580

Step 1: Find the prime factorization of 7484

7484 = 2 x 2 x 1871

Step 2: Find the prime factorization of 7490

7490 = 2 x 5 x 7 x 107

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

LCM = 28027580 = 2 x 2 x 5 x 7 x 107 x 1871

Step 4: Therefore, the least common multiple of 7484 and 7490 is 28027580.