Least Common Multiple of 7501 and 7506

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 7506 the smallest integer that is 56302506 that is divisible by both numbers.

Least Common Multiple (LCM) of 7501 and 7506 is 56302506.

LCM(7501,7506) = 56302506

LCM of 7501 and 7506

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

LCM of:
and

Least Common Multiple of 7501 and 7506

LCM of 7501 and 7506 is 56302506

Least common multiple can be found by multiplying the highest exponent prime factors of 7501 and 7506. First we will calculate the prime factors of 7501 and 7506.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 7501 and 7506.

LCM(7501,7506) = 21×33×131×1391×5771
LCM(7501,7506) = 56302506

Factors of 7501

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

1, 13, 577, 7501

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

Least Common Multiple of 7501 and 7506 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 7506, than apply into the LCM equation.

GCF(7501,7506) = 1
LCM(7501,7506) = ( 7501 × 7506) / 1
LCM(7501,7506) = 56302506 / 1
LCM(7501,7506) = 56302506

Properties of LCM 7501 and 7506

(i) The LCM of 7506 and 7501 is associative

LCM of 7501 and 7506 = LCM of 7506 and 7501

Related Least Common Multiples of 7501

Related Least Common Multiples of 7506

Frequently Asked Questions on LCM of 7501 and 7506

1. What is the LCM of 7501 and 7506?

Answer: LCM of 7501 and 7506 is 56302506.

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 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.

4. How to Find the LCM of 7501 and 7506?

Answer:

Least Common Multiple of 7501 and 7506 = 56302506

Step 1: Find the prime factorization of 7501

7501 = 13 x 577

Step 2: Find the prime factorization of 7506

7506 = 2 x 3 x 3 x 3 x 139

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

LCM = 56302506 = 2 x 3 x 3 x 3 x 13 x 139 x 577

Step 4: Therefore, the least common multiple of 7501 and 7506 is 56302506.