Least Common Multiple of 7502 and 7510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7502 and 7510 the smallest integer that is 28170010 that is divisible by both numbers.

Least Common Multiple (LCM) of 7502 and 7510 is 28170010.

LCM(7502,7510) = 28170010

LCM of 7502 and 7510

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

LCM of:
and

Least Common Multiple of 7502 and 7510

LCM of 7502 and 7510 is 28170010

Least common multiple can be found by multiplying the highest exponent prime factors of 7502 and 7510. First we will calculate the prime factors of 7502 and 7510.

Prime Factorization of 7502


2 7502
11 3751
11 341
31 31
1

Prime factors of 7502 are 2, 11,31. Prime factorization of 7502 in exponential form is:

7502 = 21×112×311

Prime Factorization of 7510


2 7510
5 3755
751 751
1

Prime factors of 7510 are 2, 5,751. Prime factorization of 7510 in exponential form is:

7510 = 21×51×7511

Now multiplying the highest exponent prime factors to calculate the LCM of 7502 and 7510.

LCM(7502,7510) = 21×51×112×311×7511
LCM(7502,7510) = 28170010

Factors of 7502

List of positive integer factors of 7502 that divides 7502 without a remainder.

1, 2, 11, 22, 31, 62, 121, 242, 341, 682, 3751, 7502

Factors of 7510

List of positive integer factors of 7510 that divides 7510 without a remainder.

1, 2, 5, 10, 751, 1502, 3755, 7510

Least Common Multiple of 7502 and 7510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7502 and 7510, than apply into the LCM equation.

GCF(7502,7510) = 2
LCM(7502,7510) = ( 7502 × 7510) / 2
LCM(7502,7510) = 56340020 / 2
LCM(7502,7510) = 28170010

Properties of LCM 7502 and 7510

(i) The LCM of 7510 and 7502 is associative

LCM of 7502 and 7510 = LCM of 7510 and 7502

Related Least Common Multiples of 7502

Related Least Common Multiples of 7510

Frequently Asked Questions on LCM of 7502 and 7510

1. What is the LCM of 7502 and 7510?

Answer: LCM of 7502 and 7510 is 28170010.

2. What are the Factors of 7502?

Answer: Factors of 7502 are 1, 2, 11, 22, 31, 62, 121, 242, 341, 682, 3751, 7502. There are 12 integers that are factors of 7502. The greatest factor of 7502 is 7502.

3. What are the Factors of 7510?

Answer: Factors of 7510 are 1, 2, 5, 10, 751, 1502, 3755, 7510. There are 8 integers that are factors of 7510. The greatest factor of 7510 is 7510.

4. How to Find the LCM of 7502 and 7510?

Answer:

Least Common Multiple of 7502 and 7510 = 28170010

Step 1: Find the prime factorization of 7502

7502 = 2 x 11 x 11 x 31

Step 2: Find the prime factorization of 7510

7510 = 2 x 5 x 751

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

LCM = 28170010 = 2 x 5 x 11 x 11 x 31 x 751

Step 4: Therefore, the least common multiple of 7502 and 7510 is 28170010.