Least Common Multiple of 7503 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 7503 and 7506 the smallest integer that is 18772506 that is divisible by both numbers.

Least Common Multiple (LCM) of 7503 and 7506 is 18772506.

LCM(7503,7506) = 18772506

LCM of 7503 and 7506

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

LCM of:
and

Least Common Multiple of 7503 and 7506

LCM of 7503 and 7506 is 18772506

Least common multiple can be found by multiplying the highest exponent prime factors of 7503 and 7506. First we will calculate the prime factors of 7503 and 7506.

Prime Factorization of 7503


3 7503
41 2501
61 61
1

Prime factors of 7503 are 3, 41,61. Prime factorization of 7503 in exponential form is:

7503 = 31×411×611

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 7503 and 7506.

LCM(7503,7506) = 21×33×411×611×1391
LCM(7503,7506) = 18772506

Factors of 7503

List of positive integer factors of 7503 that divides 7503 without a remainder.

1, 3, 41, 61, 123, 183, 2501, 7503

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 7503 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 7503 and 7506, than apply into the LCM equation.

GCF(7503,7506) = 3
LCM(7503,7506) = ( 7503 × 7506) / 3
LCM(7503,7506) = 56317518 / 3
LCM(7503,7506) = 18772506

Properties of LCM 7503 and 7506

(i) The LCM of 7506 and 7503 is associative

LCM of 7503 and 7506 = LCM of 7506 and 7503

Related Least Common Multiples of 7503

Related Least Common Multiples of 7506

Frequently Asked Questions on LCM of 7503 and 7506

1. What is the LCM of 7503 and 7506?

Answer: LCM of 7503 and 7506 is 18772506.

2. What are the Factors of 7503?

Answer: Factors of 7503 are 1, 3, 41, 61, 123, 183, 2501, 7503. There are 8 integers that are factors of 7503. The greatest factor of 7503 is 7503.

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 7503 and 7506?

Answer:

Least Common Multiple of 7503 and 7506 = 18772506

Step 1: Find the prime factorization of 7503

7503 = 3 x 41 x 61

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 = 18772506 = 2 x 3 x 3 x 3 x 41 x 61 x 139

Step 4: Therefore, the least common multiple of 7503 and 7506 is 18772506.