Least Common Multiple of 4517 and 4522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4517 and 4522 the smallest integer that is 20425874 that is divisible by both numbers.

Least Common Multiple (LCM) of 4517 and 4522 is 20425874.

LCM(4517,4522) = 20425874

LCM of 4517 and 4522

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

LCM of:
and

Least Common Multiple of 4517 and 4522

LCM of 4517 and 4522 is 20425874

Least common multiple can be found by multiplying the highest exponent prime factors of 4517 and 4522. First we will calculate the prime factors of 4517 and 4522.

Prime Factorization of 4517


4517 4517
1

Prime factors of 4517 are 4517. Prime factorization of 4517 in exponential form is:

4517 = 45171

Prime Factorization of 4522


2 4522
7 2261
17 323
19 19
1

Prime factors of 4522 are 2, 7, 17,19. Prime factorization of 4522 in exponential form is:

4522 = 21×71×171×191

Now multiplying the highest exponent prime factors to calculate the LCM of 4517 and 4522.

LCM(4517,4522) = 21×71×171×191×45171
LCM(4517,4522) = 20425874

Factors of 4517

List of positive integer factors of 4517 that divides 4517 without a remainder.

1, 4517

Factors of 4522

List of positive integer factors of 4522 that divides 4522 without a remainder.

1, 2, 7, 14, 17, 19, 34, 38, 119, 133, 238, 266, 323, 646, 2261, 4522

Least Common Multiple of 4517 and 4522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4517 and 4522, than apply into the LCM equation.

GCF(4517,4522) = 1
LCM(4517,4522) = ( 4517 × 4522) / 1
LCM(4517,4522) = 20425874 / 1
LCM(4517,4522) = 20425874

Properties of LCM 4517 and 4522

(i) The LCM of 4522 and 4517 is associative

LCM of 4517 and 4522 = LCM of 4522 and 4517

Related Least Common Multiples of 4517

Related Least Common Multiples of 4522

Frequently Asked Questions on LCM of 4517 and 4522

1. What is the LCM of 4517 and 4522?

Answer: LCM of 4517 and 4522 is 20425874.

2. What are the Factors of 4517?

Answer: Factors of 4517 are 1, 4517. There are 2 integers that are factors of 4517. The greatest factor of 4517 is 4517.

3. What are the Factors of 4522?

Answer: Factors of 4522 are 1, 2, 7, 14, 17, 19, 34, 38, 119, 133, 238, 266, 323, 646, 2261, 4522. There are 16 integers that are factors of 4522. The greatest factor of 4522 is 4522.

4. How to Find the LCM of 4517 and 4522?

Answer:

Least Common Multiple of 4517 and 4522 = 20425874

Step 1: Find the prime factorization of 4517

4517 = 4517

Step 2: Find the prime factorization of 4522

4522 = 2 x 7 x 17 x 19

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

LCM = 20425874 = 2 x 7 x 17 x 19 x 4517

Step 4: Therefore, the least common multiple of 4517 and 4522 is 20425874.