Least Common Multiple of 4511 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 4511 and 4515 the smallest integer that is 20367165 that is divisible by both numbers.

Least Common Multiple (LCM) of 4511 and 4515 is 20367165.

LCM(4511,4515) = 20367165

LCM of 4511 and 4515

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

LCM of:
and

Least Common Multiple of 4511 and 4515

LCM of 4511 and 4515 is 20367165

Least common multiple can be found by multiplying the highest exponent prime factors of 4511 and 4515. First we will calculate the prime factors of 4511 and 4515.

Prime Factorization of 4511


13 4511
347 347
1

Prime factors of 4511 are 13,347. Prime factorization of 4511 in exponential form is:

4511 = 131×3471

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 4511 and 4515.

LCM(4511,4515) = 31×51×71×131×431×3471
LCM(4511,4515) = 20367165

Factors of 4511

List of positive integer factors of 4511 that divides 4511 without a remainder.

1, 13, 347, 4511

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 4511 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 4511 and 4515, than apply into the LCM equation.

GCF(4511,4515) = 1
LCM(4511,4515) = ( 4511 × 4515) / 1
LCM(4511,4515) = 20367165 / 1
LCM(4511,4515) = 20367165

Properties of LCM 4511 and 4515

(i) The LCM of 4515 and 4511 is associative

LCM of 4511 and 4515 = LCM of 4515 and 4511

Related Least Common Multiples of 4511

Related Least Common Multiples of 4515

Frequently Asked Questions on LCM of 4511 and 4515

1. What is the LCM of 4511 and 4515?

Answer: LCM of 4511 and 4515 is 20367165.

2. What are the Factors of 4511?

Answer: Factors of 4511 are 1, 13, 347, 4511. There are 4 integers that are factors of 4511. The greatest factor of 4511 is 4511.

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 4511 and 4515?

Answer:

Least Common Multiple of 4511 and 4515 = 20367165

Step 1: Find the prime factorization of 4511

4511 = 13 x 347

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 = 20367165 = 3 x 5 x 7 x 13 x 43 x 347

Step 4: Therefore, the least common multiple of 4511 and 4515 is 20367165.