Least Common Multiple of 7484 and 7488

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 7488 the smallest integer that is 14010048 that is divisible by both numbers.

Least Common Multiple (LCM) of 7484 and 7488 is 14010048.

LCM(7484,7488) = 14010048

LCM of 7484 and 7488

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

LCM of:
and

Least Common Multiple of 7484 and 7488

LCM of 7484 and 7488 is 14010048

Least common multiple can be found by multiplying the highest exponent prime factors of 7484 and 7488. First we will calculate the prime factors of 7484 and 7488.

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 7488


2 7488
2 3744
2 1872
2 936
2 468
2 234
3 117
3 39
13 13
1

Prime factors of 7488 are 2, 3,13. Prime factorization of 7488 in exponential form is:

7488 = 26×32×131

Now multiplying the highest exponent prime factors to calculate the LCM of 7484 and 7488.

LCM(7484,7488) = 26×32×131×18711
LCM(7484,7488) = 14010048

Factors of 7484

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

1, 2, 4, 1871, 3742, 7484

Factors of 7488

List of positive integer factors of 7488 that divides 7488 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 64, 72, 78, 96, 104, 117, 144, 156, 192, 208, 234, 288, 312, 416, 468, 576, 624, 832, 936, 1248, 1872, 2496, 3744, 7488

Least Common Multiple of 7484 and 7488 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 7488, than apply into the LCM equation.

GCF(7484,7488) = 4
LCM(7484,7488) = ( 7484 × 7488) / 4
LCM(7484,7488) = 56040192 / 4
LCM(7484,7488) = 14010048

Properties of LCM 7484 and 7488

(i) The LCM of 7488 and 7484 is associative

LCM of 7484 and 7488 = LCM of 7488 and 7484

Related Least Common Multiples of 7484

Related Least Common Multiples of 7488

Frequently Asked Questions on LCM of 7484 and 7488

1. What is the LCM of 7484 and 7488?

Answer: LCM of 7484 and 7488 is 14010048.

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 7488?

Answer: Factors of 7488 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 64, 72, 78, 96, 104, 117, 144, 156, 192, 208, 234, 288, 312, 416, 468, 576, 624, 832, 936, 1248, 1872, 2496, 3744, 7488. There are 42 integers that are factors of 7488. The greatest factor of 7488 is 7488.

4. How to Find the LCM of 7484 and 7488?

Answer:

Least Common Multiple of 7484 and 7488 = 14010048

Step 1: Find the prime factorization of 7484

7484 = 2 x 2 x 1871

Step 2: Find the prime factorization of 7488

7488 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13

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

LCM = 14010048 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 1871

Step 4: Therefore, the least common multiple of 7484 and 7488 is 14010048.