Least Common Multiple of 7501 and 7507

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 7507 the smallest integer that is 56310007 that is divisible by both numbers.

Least Common Multiple (LCM) of 7501 and 7507 is 56310007.

LCM(7501,7507) = 56310007

LCM of 7501 and 7507

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

LCM of:
and

Least Common Multiple of 7501 and 7507

LCM of 7501 and 7507 is 56310007

Least common multiple can be found by multiplying the highest exponent prime factors of 7501 and 7507. First we will calculate the prime factors of 7501 and 7507.

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 7507


7507 7507
1

Prime factors of 7507 are 7507. Prime factorization of 7507 in exponential form is:

7507 = 75071

Now multiplying the highest exponent prime factors to calculate the LCM of 7501 and 7507.

LCM(7501,7507) = 131×5771×75071
LCM(7501,7507) = 56310007

Factors of 7501

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

1, 13, 577, 7501

Factors of 7507

List of positive integer factors of 7507 that divides 7507 without a remainder.

1, 7507

Least Common Multiple of 7501 and 7507 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 7507, than apply into the LCM equation.

GCF(7501,7507) = 1
LCM(7501,7507) = ( 7501 × 7507) / 1
LCM(7501,7507) = 56310007 / 1
LCM(7501,7507) = 56310007

Properties of LCM 7501 and 7507

(i) The LCM of 7507 and 7501 is associative

LCM of 7501 and 7507 = LCM of 7507 and 7501

Related Least Common Multiples of 7501

Related Least Common Multiples of 7507

Frequently Asked Questions on LCM of 7501 and 7507

1. What is the LCM of 7501 and 7507?

Answer: LCM of 7501 and 7507 is 56310007.

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 7507?

Answer: Factors of 7507 are 1, 7507. There are 2 integers that are factors of 7507. The greatest factor of 7507 is 7507.

4. How to Find the LCM of 7501 and 7507?

Answer:

Least Common Multiple of 7501 and 7507 = 56310007

Step 1: Find the prime factorization of 7501

7501 = 13 x 577

Step 2: Find the prime factorization of 7507

7507 = 7507

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

LCM = 56310007 = 13 x 577 x 7507

Step 4: Therefore, the least common multiple of 7501 and 7507 is 56310007.