Least Common Multiple of 4507 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 4507 and 4509 the smallest integer that is 20322063 that is divisible by both numbers.

Least Common Multiple (LCM) of 4507 and 4509 is 20322063.

LCM(4507,4509) = 20322063

LCM of 4507 and 4509

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

LCM of:
and

Least Common Multiple of 4507 and 4509

LCM of 4507 and 4509 is 20322063

Least common multiple can be found by multiplying the highest exponent prime factors of 4507 and 4509. First we will calculate the prime factors of 4507 and 4509.

Prime Factorization of 4507


4507 4507
1

Prime factors of 4507 are 4507. Prime factorization of 4507 in exponential form is:

4507 = 45071

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 4507 and 4509.

LCM(4507,4509) = 33×1671×45071
LCM(4507,4509) = 20322063

Factors of 4507

List of positive integer factors of 4507 that divides 4507 without a remainder.

1, 4507

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 4507 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 4507 and 4509, than apply into the LCM equation.

GCF(4507,4509) = 1
LCM(4507,4509) = ( 4507 × 4509) / 1
LCM(4507,4509) = 20322063 / 1
LCM(4507,4509) = 20322063

Properties of LCM 4507 and 4509

(i) The LCM of 4509 and 4507 is associative

LCM of 4507 and 4509 = LCM of 4509 and 4507

Related Least Common Multiples of 4507

Related Least Common Multiples of 4509

Frequently Asked Questions on LCM of 4507 and 4509

1. What is the LCM of 4507 and 4509?

Answer: LCM of 4507 and 4509 is 20322063.

2. What are the Factors of 4507?

Answer: Factors of 4507 are 1, 4507. There are 2 integers that are factors of 4507. The greatest factor of 4507 is 4507.

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 4507 and 4509?

Answer:

Least Common Multiple of 4507 and 4509 = 20322063

Step 1: Find the prime factorization of 4507

4507 = 4507

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 = 20322063 = 3 x 3 x 3 x 167 x 4507

Step 4: Therefore, the least common multiple of 4507 and 4509 is 20322063.