Least Common Multiple of 7530 and 7538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7530 and 7538 the smallest integer that is 28380570 that is divisible by both numbers.

Least Common Multiple (LCM) of 7530 and 7538 is 28380570.

LCM(7530,7538) = 28380570

LCM of 7530 and 7538

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

LCM of:
and

Least Common Multiple of 7530 and 7538

LCM of 7530 and 7538 is 28380570

Least common multiple can be found by multiplying the highest exponent prime factors of 7530 and 7538. First we will calculate the prime factors of 7530 and 7538.

Prime Factorization of 7530


2 7530
3 3765
5 1255
251 251
1

Prime factors of 7530 are 2, 3, 5,251. Prime factorization of 7530 in exponential form is:

7530 = 21×31×51×2511

Prime Factorization of 7538


2 7538
3769 3769
1

Prime factors of 7538 are 2,3769. Prime factorization of 7538 in exponential form is:

7538 = 21×37691

Now multiplying the highest exponent prime factors to calculate the LCM of 7530 and 7538.

LCM(7530,7538) = 21×31×51×2511×37691
LCM(7530,7538) = 28380570

Factors of 7530

List of positive integer factors of 7530 that divides 7530 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 251, 502, 753, 1255, 1506, 2510, 3765, 7530

Factors of 7538

List of positive integer factors of 7538 that divides 7538 without a remainder.

1, 2, 3769, 7538

Least Common Multiple of 7530 and 7538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7530 and 7538, than apply into the LCM equation.

GCF(7530,7538) = 2
LCM(7530,7538) = ( 7530 × 7538) / 2
LCM(7530,7538) = 56761140 / 2
LCM(7530,7538) = 28380570

Properties of LCM 7530 and 7538

(i) The LCM of 7538 and 7530 is associative

LCM of 7530 and 7538 = LCM of 7538 and 7530

Related Least Common Multiples of 7530

Related Least Common Multiples of 7538

Frequently Asked Questions on LCM of 7530 and 7538

1. What is the LCM of 7530 and 7538?

Answer: LCM of 7530 and 7538 is 28380570.

2. What are the Factors of 7530?

Answer: Factors of 7530 are 1, 2, 3, 5, 6, 10, 15, 30, 251, 502, 753, 1255, 1506, 2510, 3765, 7530. There are 16 integers that are factors of 7530. The greatest factor of 7530 is 7530.

3. What are the Factors of 7538?

Answer: Factors of 7538 are 1, 2, 3769, 7538. There are 4 integers that are factors of 7538. The greatest factor of 7538 is 7538.

4. How to Find the LCM of 7530 and 7538?

Answer:

Least Common Multiple of 7530 and 7538 = 28380570

Step 1: Find the prime factorization of 7530

7530 = 2 x 3 x 5 x 251

Step 2: Find the prime factorization of 7538

7538 = 2 x 3769

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

LCM = 28380570 = 2 x 3 x 5 x 251 x 3769

Step 4: Therefore, the least common multiple of 7530 and 7538 is 28380570.