Least Common Multiple of 7475 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 7475 and 7482 the smallest integer that is 55927950 that is divisible by both numbers.

Least Common Multiple (LCM) of 7475 and 7482 is 55927950.

LCM(7475,7482) = 55927950

LCM of 7475 and 7482

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

LCM of:
and

Least Common Multiple of 7475 and 7482

LCM of 7475 and 7482 is 55927950

Least common multiple can be found by multiplying the highest exponent prime factors of 7475 and 7482. First we will calculate the prime factors of 7475 and 7482.

Prime Factorization of 7475


5 7475
5 1495
13 299
23 23
1

Prime factors of 7475 are 5, 13,23. Prime factorization of 7475 in exponential form is:

7475 = 52×131×231

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 7475 and 7482.

LCM(7475,7482) = 21×31×52×131×231×291×431
LCM(7475,7482) = 55927950

Factors of 7475

List of positive integer factors of 7475 that divides 7475 without a remainder.

1, 5, 13, 23, 25, 65, 115, 299, 325, 575, 1495, 7475

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 7475 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 7475 and 7482, than apply into the LCM equation.

GCF(7475,7482) = 1
LCM(7475,7482) = ( 7475 × 7482) / 1
LCM(7475,7482) = 55927950 / 1
LCM(7475,7482) = 55927950

Properties of LCM 7475 and 7482

(i) The LCM of 7482 and 7475 is associative

LCM of 7475 and 7482 = LCM of 7482 and 7475

Related Least Common Multiples of 7475

Related Least Common Multiples of 7482

Frequently Asked Questions on LCM of 7475 and 7482

1. What is the LCM of 7475 and 7482?

Answer: LCM of 7475 and 7482 is 55927950.

2. What are the Factors of 7475?

Answer: Factors of 7475 are 1, 5, 13, 23, 25, 65, 115, 299, 325, 575, 1495, 7475. There are 12 integers that are factors of 7475. The greatest factor of 7475 is 7475.

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 7475 and 7482?

Answer:

Least Common Multiple of 7475 and 7482 = 55927950

Step 1: Find the prime factorization of 7475

7475 = 5 x 5 x 13 x 23

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 = 55927950 = 2 x 3 x 5 x 5 x 13 x 23 x 29 x 43

Step 4: Therefore, the least common multiple of 7475 and 7482 is 55927950.