Least Common Multiple of 7506 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 7506 and 7510 the smallest integer that is 28185030 that is divisible by both numbers.

Least Common Multiple (LCM) of 7506 and 7510 is 28185030.

LCM(7506,7510) = 28185030

LCM of 7506 and 7510

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

LCM of:
and

Least Common Multiple of 7506 and 7510

LCM of 7506 and 7510 is 28185030

Least common multiple can be found by multiplying the highest exponent prime factors of 7506 and 7510. First we will calculate the prime factors of 7506 and 7510.

Prime Factorization of 7506


2 7506
3 3753
3 1251
3 417
139 139
1

Prime factors of 7506 are 2, 3,139. Prime factorization of 7506 in exponential form is:

7506 = 21×33×1391

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 7506 and 7510.

LCM(7506,7510) = 21×33×51×1391×7511
LCM(7506,7510) = 28185030

Factors of 7506

List of positive integer factors of 7506 that divides 7506 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 139, 278, 417, 834, 1251, 2502, 3753, 7506

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 7506 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 7506 and 7510, than apply into the LCM equation.

GCF(7506,7510) = 2
LCM(7506,7510) = ( 7506 × 7510) / 2
LCM(7506,7510) = 56370060 / 2
LCM(7506,7510) = 28185030

Properties of LCM 7506 and 7510

(i) The LCM of 7510 and 7506 is associative

LCM of 7506 and 7510 = LCM of 7510 and 7506

Related Least Common Multiples of 7506

Related Least Common Multiples of 7510

Frequently Asked Questions on LCM of 7506 and 7510

1. What is the LCM of 7506 and 7510?

Answer: LCM of 7506 and 7510 is 28185030.

2. What are the Factors of 7506?

Answer: Factors of 7506 are 1, 2, 3, 6, 9, 18, 27, 54, 139, 278, 417, 834, 1251, 2502, 3753, 7506. There are 16 integers that are factors of 7506. The greatest factor of 7506 is 7506.

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 7506 and 7510?

Answer:

Least Common Multiple of 7506 and 7510 = 28185030

Step 1: Find the prime factorization of 7506

7506 = 2 x 3 x 3 x 3 x 139

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 = 28185030 = 2 x 3 x 3 x 3 x 5 x 139 x 751

Step 4: Therefore, the least common multiple of 7506 and 7510 is 28185030.