Least Common Multiple of 7501 and 7508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7501 and 7508 the smallest integer that is 56317508 that is divisible by both numbers.

Least Common Multiple (LCM) of 7501 and 7508 is 56317508.

LCM(7501,7508) = 56317508

LCM of 7501 and 7508

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

LCM of:
and

Least Common Multiple of 7501 and 7508

LCM of 7501 and 7508 is 56317508

Least common multiple can be found by multiplying the highest exponent prime factors of 7501 and 7508. First we will calculate the prime factors of 7501 and 7508.

Prime Factorization of 7501


13 7501
577 577
1

Prime factors of 7501 are 13,577. Prime factorization of 7501 in exponential form is:

7501 = 131×5771

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7501 and 7508.

LCM(7501,7508) = 22×131×5771×18771
LCM(7501,7508) = 56317508

Factors of 7501

List of positive integer factors of 7501 that divides 7501 without a remainder.

1, 13, 577, 7501

Factors of 7508

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

1, 2, 4, 1877, 3754, 7508

Least Common Multiple of 7501 and 7508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7501 and 7508, than apply into the LCM equation.

GCF(7501,7508) = 1
LCM(7501,7508) = ( 7501 × 7508) / 1
LCM(7501,7508) = 56317508 / 1
LCM(7501,7508) = 56317508

Properties of LCM 7501 and 7508

(i) The LCM of 7508 and 7501 is associative

LCM of 7501 and 7508 = LCM of 7508 and 7501

Related Least Common Multiples of 7501

Related Least Common Multiples of 7508

Frequently Asked Questions on LCM of 7501 and 7508

1. What is the LCM of 7501 and 7508?

Answer: LCM of 7501 and 7508 is 56317508.

2. What are the Factors of 7501?

Answer: Factors of 7501 are 1, 13, 577, 7501. There are 4 integers that are factors of 7501. The greatest factor of 7501 is 7501.

3. 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.

4. How to Find the LCM of 7501 and 7508?

Answer:

Least Common Multiple of 7501 and 7508 = 56317508

Step 1: Find the prime factorization of 7501

7501 = 13 x 577

Step 2: Find the prime factorization of 7508

7508 = 2 x 2 x 1877

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

LCM = 56317508 = 2 x 2 x 13 x 577 x 1877

Step 4: Therefore, the least common multiple of 7501 and 7508 is 56317508.