Least Common Multiple of 4507 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 4507 and 4515 the smallest integer that is 20349105 that is divisible by both numbers.

Least Common Multiple (LCM) of 4507 and 4515 is 20349105.

LCM(4507,4515) = 20349105

LCM of 4507 and 4515

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

LCM of:
and

Least Common Multiple of 4507 and 4515

LCM of 4507 and 4515 is 20349105

Least common multiple can be found by multiplying the highest exponent prime factors of 4507 and 4515. First we will calculate the prime factors of 4507 and 4515.

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 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 4507 and 4515.

LCM(4507,4515) = 31×51×71×431×45071
LCM(4507,4515) = 20349105

Factors of 4507

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

1, 4507

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 4507 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 4507 and 4515, than apply into the LCM equation.

GCF(4507,4515) = 1
LCM(4507,4515) = ( 4507 × 4515) / 1
LCM(4507,4515) = 20349105 / 1
LCM(4507,4515) = 20349105

Properties of LCM 4507 and 4515

(i) The LCM of 4515 and 4507 is associative

LCM of 4507 and 4515 = LCM of 4515 and 4507

Related Least Common Multiples of 4507

Related Least Common Multiples of 4515

Frequently Asked Questions on LCM of 4507 and 4515

1. What is the LCM of 4507 and 4515?

Answer: LCM of 4507 and 4515 is 20349105.

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 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 4507 and 4515?

Answer:

Least Common Multiple of 4507 and 4515 = 20349105

Step 1: Find the prime factorization of 4507

4507 = 4507

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 = 20349105 = 3 x 5 x 7 x 43 x 4507

Step 4: Therefore, the least common multiple of 4507 and 4515 is 20349105.