Least Common Multiple of 7508 and 7513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7508 and 7513 the smallest integer that is 56407604 that is divisible by both numbers.

Least Common Multiple (LCM) of 7508 and 7513 is 56407604.

LCM(7508,7513) = 56407604

LCM of 7508 and 7513

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

LCM of:
and

Least Common Multiple of 7508 and 7513

LCM of 7508 and 7513 is 56407604

Least common multiple can be found by multiplying the highest exponent prime factors of 7508 and 7513. First we will calculate the prime factors of 7508 and 7513.

Prime Factorization of 7508


2 7508
2 3754
1877 1877
1

Prime factors of 7508 are 2,1877. Prime factorization of 7508 in exponential form is:

7508 = 22×18771

Prime Factorization of 7513


11 7513
683 683
1

Prime factors of 7513 are 11,683. Prime factorization of 7513 in exponential form is:

7513 = 111×6831

Now multiplying the highest exponent prime factors to calculate the LCM of 7508 and 7513.

LCM(7508,7513) = 22×111×6831×18771
LCM(7508,7513) = 56407604

Factors of 7508

List of positive integer factors of 7508 that divides 7508 without a remainder.

1, 2, 4, 1877, 3754, 7508

Factors of 7513

List of positive integer factors of 7513 that divides 7513 without a remainder.

1, 11, 683, 7513

Least Common Multiple of 7508 and 7513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7508 and 7513, than apply into the LCM equation.

GCF(7508,7513) = 1
LCM(7508,7513) = ( 7508 × 7513) / 1
LCM(7508,7513) = 56407604 / 1
LCM(7508,7513) = 56407604

Properties of LCM 7508 and 7513

(i) The LCM of 7513 and 7508 is associative

LCM of 7508 and 7513 = LCM of 7513 and 7508

Related Least Common Multiples of 7508

Related Least Common Multiples of 7513

Frequently Asked Questions on LCM of 7508 and 7513

1. What is the LCM of 7508 and 7513?

Answer: LCM of 7508 and 7513 is 56407604.

2. What are the Factors of 7508?

Answer: Factors of 7508 are 1, 2, 4, 1877, 3754, 7508. There are 6 integers that are factors of 7508. The greatest factor of 7508 is 7508.

3. What are the Factors of 7513?

Answer: Factors of 7513 are 1, 11, 683, 7513. There are 4 integers that are factors of 7513. The greatest factor of 7513 is 7513.

4. How to Find the LCM of 7508 and 7513?

Answer:

Least Common Multiple of 7508 and 7513 = 56407604

Step 1: Find the prime factorization of 7508

7508 = 2 x 2 x 1877

Step 2: Find the prime factorization of 7513

7513 = 11 x 683

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

LCM = 56407604 = 2 x 2 x 11 x 683 x 1877

Step 4: Therefore, the least common multiple of 7508 and 7513 is 56407604.