Least Common Multiple of 7504 and 7509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7504 and 7509 the smallest integer that is 56347536 that is divisible by both numbers.

Least Common Multiple (LCM) of 7504 and 7509 is 56347536.

LCM(7504,7509) = 56347536

LCM of 7504 and 7509

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

LCM of:
and

Least Common Multiple of 7504 and 7509

LCM of 7504 and 7509 is 56347536

Least common multiple can be found by multiplying the highest exponent prime factors of 7504 and 7509. First we will calculate the prime factors of 7504 and 7509.

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

Prime Factorization of 7509


3 7509
2503 2503
1

Prime factors of 7509 are 3,2503. Prime factorization of 7509 in exponential form is:

7509 = 31×25031

Now multiplying the highest exponent prime factors to calculate the LCM of 7504 and 7509.

LCM(7504,7509) = 24×31×71×671×25031
LCM(7504,7509) = 56347536

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

Factors of 7509

List of positive integer factors of 7509 that divides 7509 without a remainder.

1, 3, 2503, 7509

Least Common Multiple of 7504 and 7509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7504 and 7509, than apply into the LCM equation.

GCF(7504,7509) = 1
LCM(7504,7509) = ( 7504 × 7509) / 1
LCM(7504,7509) = 56347536 / 1
LCM(7504,7509) = 56347536

Properties of LCM 7504 and 7509

(i) The LCM of 7509 and 7504 is associative

LCM of 7504 and 7509 = LCM of 7509 and 7504

Related Least Common Multiples of 7504

Related Least Common Multiples of 7509

Frequently Asked Questions on LCM of 7504 and 7509

1. What is the LCM of 7504 and 7509?

Answer: LCM of 7504 and 7509 is 56347536.

2. 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.

3. What are the Factors of 7509?

Answer: Factors of 7509 are 1, 3, 2503, 7509. There are 4 integers that are factors of 7509. The greatest factor of 7509 is 7509.

4. How to Find the LCM of 7504 and 7509?

Answer:

Least Common Multiple of 7504 and 7509 = 56347536

Step 1: Find the prime factorization of 7504

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

Step 2: Find the prime factorization of 7509

7509 = 3 x 2503

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

LCM = 56347536 = 2 x 2 x 2 x 2 x 3 x 7 x 67 x 2503

Step 4: Therefore, the least common multiple of 7504 and 7509 is 56347536.