Least Common Multiple of 4504 and 4509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4504 and 4509 the smallest integer that is 20308536 that is divisible by both numbers.

Least Common Multiple (LCM) of 4504 and 4509 is 20308536.

LCM(4504,4509) = 20308536

LCM of 4504 and 4509

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

LCM of:
and

Least Common Multiple of 4504 and 4509

LCM of 4504 and 4509 is 20308536

Least common multiple can be found by multiplying the highest exponent prime factors of 4504 and 4509. First we will calculate the prime factors of 4504 and 4509.

Prime Factorization of 4504


2 4504
2 2252
2 1126
563 563
1

Prime factors of 4504 are 2,563. Prime factorization of 4504 in exponential form is:

4504 = 23×5631

Prime Factorization of 4509


3 4509
3 1503
3 501
167 167
1

Prime factors of 4509 are 3,167. Prime factorization of 4509 in exponential form is:

4509 = 33×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 4504 and 4509.

LCM(4504,4509) = 23×33×1671×5631
LCM(4504,4509) = 20308536

Factors of 4504

List of positive integer factors of 4504 that divides 4504 without a remainder.

1, 2, 4, 8, 563, 1126, 2252, 4504

Factors of 4509

List of positive integer factors of 4509 that divides 4509 without a remainder.

1, 3, 9, 27, 167, 501, 1503, 4509

Least Common Multiple of 4504 and 4509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4504 and 4509, than apply into the LCM equation.

GCF(4504,4509) = 1
LCM(4504,4509) = ( 4504 × 4509) / 1
LCM(4504,4509) = 20308536 / 1
LCM(4504,4509) = 20308536

Properties of LCM 4504 and 4509

(i) The LCM of 4509 and 4504 is associative

LCM of 4504 and 4509 = LCM of 4509 and 4504

Related Least Common Multiples of 4504

Related Least Common Multiples of 4509

Frequently Asked Questions on LCM of 4504 and 4509

1. What is the LCM of 4504 and 4509?

Answer: LCM of 4504 and 4509 is 20308536.

2. What are the Factors of 4504?

Answer: Factors of 4504 are 1, 2, 4, 8, 563, 1126, 2252, 4504. There are 8 integers that are factors of 4504. The greatest factor of 4504 is 4504.

3. What are the Factors of 4509?

Answer: Factors of 4509 are 1, 3, 9, 27, 167, 501, 1503, 4509. There are 8 integers that are factors of 4509. The greatest factor of 4509 is 4509.

4. How to Find the LCM of 4504 and 4509?

Answer:

Least Common Multiple of 4504 and 4509 = 20308536

Step 1: Find the prime factorization of 4504

4504 = 2 x 2 x 2 x 563

Step 2: Find the prime factorization of 4509

4509 = 3 x 3 x 3 x 167

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

LCM = 20308536 = 2 x 2 x 2 x 3 x 3 x 3 x 167 x 563

Step 4: Therefore, the least common multiple of 4504 and 4509 is 20308536.