Least Common Multiple of 4509 and 4515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4509 and 4515 the smallest integer that is 6786045 that is divisible by both numbers.

Least Common Multiple (LCM) of 4509 and 4515 is 6786045.

LCM(4509,4515) = 6786045

LCM of 4509 and 4515

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

LCM of:
and

Least Common Multiple of 4509 and 4515

LCM of 4509 and 4515 is 6786045

Least common multiple can be found by multiplying the highest exponent prime factors of 4509 and 4515. First we will calculate the prime factors of 4509 and 4515.

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

Prime Factorization of 4515


3 4515
5 1505
7 301
43 43
1

Prime factors of 4515 are 3, 5, 7,43. Prime factorization of 4515 in exponential form is:

4515 = 31×51×71×431

Now multiplying the highest exponent prime factors to calculate the LCM of 4509 and 4515.

LCM(4509,4515) = 33×51×71×431×1671
LCM(4509,4515) = 6786045

Factors of 4509

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

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

Factors of 4515

List of positive integer factors of 4515 that divides 4515 without a remainder.

1, 3, 5, 7, 15, 21, 35, 43, 105, 129, 215, 301, 645, 903, 1505, 4515

Least Common Multiple of 4509 and 4515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4509 and 4515, than apply into the LCM equation.

GCF(4509,4515) = 3
LCM(4509,4515) = ( 4509 × 4515) / 3
LCM(4509,4515) = 20358135 / 3
LCM(4509,4515) = 6786045

Properties of LCM 4509 and 4515

(i) The LCM of 4515 and 4509 is associative

LCM of 4509 and 4515 = LCM of 4515 and 4509

Related Least Common Multiples of 4509

Related Least Common Multiples of 4515

Frequently Asked Questions on LCM of 4509 and 4515

1. What is the LCM of 4509 and 4515?

Answer: LCM of 4509 and 4515 is 6786045.

2. 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.

3. What are the Factors of 4515?

Answer: Factors of 4515 are 1, 3, 5, 7, 15, 21, 35, 43, 105, 129, 215, 301, 645, 903, 1505, 4515. There are 16 integers that are factors of 4515. The greatest factor of 4515 is 4515.

4. How to Find the LCM of 4509 and 4515?

Answer:

Least Common Multiple of 4509 and 4515 = 6786045

Step 1: Find the prime factorization of 4509

4509 = 3 x 3 x 3 x 167

Step 2: Find the prime factorization of 4515

4515 = 3 x 5 x 7 x 43

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

LCM = 6786045 = 3 x 3 x 3 x 5 x 7 x 43 x 167

Step 4: Therefore, the least common multiple of 4509 and 4515 is 6786045.