Least Common Multiple of 7480 and 7482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7480 and 7482 the smallest integer that is 27982680 that is divisible by both numbers.

Least Common Multiple (LCM) of 7480 and 7482 is 27982680.

LCM(7480,7482) = 27982680

LCM of 7480 and 7482

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

LCM of:
and

Least Common Multiple of 7480 and 7482

LCM of 7480 and 7482 is 27982680

Least common multiple can be found by multiplying the highest exponent prime factors of 7480 and 7482. First we will calculate the prime factors of 7480 and 7482.

Prime Factorization of 7480


2 7480
2 3740
2 1870
5 935
11 187
17 17
1

Prime factors of 7480 are 2, 5, 11,17. Prime factorization of 7480 in exponential form is:

7480 = 23×51×111×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7480 and 7482.

LCM(7480,7482) = 23×31×51×111×171×291×431
LCM(7480,7482) = 27982680

Factors of 7480

List of positive integer factors of 7480 that divides 7480 without a remainder.

1, 2, 4, 5, 8, 10, 11, 17, 20, 22, 34, 40, 44, 55, 68, 85, 88, 110, 136, 170, 187, 220, 340, 374, 440, 680, 748, 935, 1496, 1870, 3740, 7480

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

Least Common Multiple of 7480 and 7482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7480 and 7482, than apply into the LCM equation.

GCF(7480,7482) = 2
LCM(7480,7482) = ( 7480 × 7482) / 2
LCM(7480,7482) = 55965360 / 2
LCM(7480,7482) = 27982680

Properties of LCM 7480 and 7482

(i) The LCM of 7482 and 7480 is associative

LCM of 7480 and 7482 = LCM of 7482 and 7480

Related Least Common Multiples of 7480

Related Least Common Multiples of 7482

Frequently Asked Questions on LCM of 7480 and 7482

1. What is the LCM of 7480 and 7482?

Answer: LCM of 7480 and 7482 is 27982680.

2. What are the Factors of 7480?

Answer: Factors of 7480 are 1, 2, 4, 5, 8, 10, 11, 17, 20, 22, 34, 40, 44, 55, 68, 85, 88, 110, 136, 170, 187, 220, 340, 374, 440, 680, 748, 935, 1496, 1870, 3740, 7480. There are 32 integers that are factors of 7480. The greatest factor of 7480 is 7480.

3. 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.

4. How to Find the LCM of 7480 and 7482?

Answer:

Least Common Multiple of 7480 and 7482 = 27982680

Step 1: Find the prime factorization of 7480

7480 = 2 x 2 x 2 x 5 x 11 x 17

Step 2: Find the prime factorization of 7482

7482 = 2 x 3 x 29 x 43

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

LCM = 27982680 = 2 x 2 x 2 x 3 x 5 x 11 x 17 x 29 x 43

Step 4: Therefore, the least common multiple of 7480 and 7482 is 27982680.