Least Common Multiple of 7503 and 7504

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 7504 the smallest integer that is 56302512 that is divisible by both numbers.

Least Common Multiple (LCM) of 7503 and 7504 is 56302512.

LCM(7503,7504) = 56302512

LCM of 7503 and 7504

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

LCM of:
and

Least Common Multiple of 7503 and 7504

LCM of 7503 and 7504 is 56302512

Least common multiple can be found by multiplying the highest exponent prime factors of 7503 and 7504. First we will calculate the prime factors of 7503 and 7504.

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 7504


2 7504
2 3752
2 1876
2 938
7 469
67 67
1

Prime factors of 7504 are 2, 7,67. Prime factorization of 7504 in exponential form is:

7504 = 24×71×671

Now multiplying the highest exponent prime factors to calculate the LCM of 7503 and 7504.

LCM(7503,7504) = 24×31×71×411×611×671
LCM(7503,7504) = 56302512

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 7504

List of positive integer factors of 7504 that divides 7504 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 67, 112, 134, 268, 469, 536, 938, 1072, 1876, 3752, 7504

Least Common Multiple of 7503 and 7504 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 7504, than apply into the LCM equation.

GCF(7503,7504) = 1
LCM(7503,7504) = ( 7503 × 7504) / 1
LCM(7503,7504) = 56302512 / 1
LCM(7503,7504) = 56302512

Properties of LCM 7503 and 7504

(i) The LCM of 7504 and 7503 is associative

LCM of 7503 and 7504 = LCM of 7504 and 7503

Related Least Common Multiples of 7503

Related Least Common Multiples of 7504

Frequently Asked Questions on LCM of 7503 and 7504

1. What is the LCM of 7503 and 7504?

Answer: LCM of 7503 and 7504 is 56302512.

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 7504?

Answer: Factors of 7504 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 67, 112, 134, 268, 469, 536, 938, 1072, 1876, 3752, 7504. There are 20 integers that are factors of 7504. The greatest factor of 7504 is 7504.

4. How to Find the LCM of 7503 and 7504?

Answer:

Least Common Multiple of 7503 and 7504 = 56302512

Step 1: Find the prime factorization of 7503

7503 = 3 x 41 x 61

Step 2: Find the prime factorization of 7504

7504 = 2 x 2 x 2 x 2 x 7 x 67

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

LCM = 56302512 = 2 x 2 x 2 x 2 x 3 x 7 x 41 x 61 x 67

Step 4: Therefore, the least common multiple of 7503 and 7504 is 56302512.