Least Common Multiple of 7482 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 7482 and 7488 the smallest integer that is 9337536 that is divisible by both numbers.

Least Common Multiple (LCM) of 7482 and 7488 is 9337536.

LCM(7482,7488) = 9337536

LCM of 7482 and 7488

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

LCM of:
and

Least Common Multiple of 7482 and 7488

LCM of 7482 and 7488 is 9337536

Least common multiple can be found by multiplying the highest exponent prime factors of 7482 and 7488. First we will calculate the prime factors of 7482 and 7488.

Prime Factorization of 7482


2 7482
3 3741
29 1247
43 43
1

Prime factors of 7482 are 2, 3, 29,43. Prime factorization of 7482 in exponential form is:

7482 = 21×31×291×431

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 7482 and 7488.

LCM(7482,7488) = 26×32×131×291×431
LCM(7482,7488) = 9337536

Factors of 7482

List of positive integer factors of 7482 that divides 7482 without a remainder.

1, 2, 3, 6, 29, 43, 58, 86, 87, 129, 174, 258, 1247, 2494, 3741, 7482

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 7482 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 7482 and 7488, than apply into the LCM equation.

GCF(7482,7488) = 6
LCM(7482,7488) = ( 7482 × 7488) / 6
LCM(7482,7488) = 56025216 / 6
LCM(7482,7488) = 9337536

Properties of LCM 7482 and 7488

(i) The LCM of 7488 and 7482 is associative

LCM of 7482 and 7488 = LCM of 7488 and 7482

Related Least Common Multiples of 7482

Related Least Common Multiples of 7488

Frequently Asked Questions on LCM of 7482 and 7488

1. What is the LCM of 7482 and 7488?

Answer: LCM of 7482 and 7488 is 9337536.

2. What are the Factors of 7482?

Answer: Factors of 7482 are 1, 2, 3, 6, 29, 43, 58, 86, 87, 129, 174, 258, 1247, 2494, 3741, 7482. There are 16 integers that are factors of 7482. The greatest factor of 7482 is 7482.

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 7482 and 7488?

Answer:

Least Common Multiple of 7482 and 7488 = 9337536

Step 1: Find the prime factorization of 7482

7482 = 2 x 3 x 29 x 43

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 = 9337536 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 29 x 43

Step 4: Therefore, the least common multiple of 7482 and 7488 is 9337536.