Least Common Multiple of 4516 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 4516 and 4522 the smallest integer that is 10210676 that is divisible by both numbers.

Least Common Multiple (LCM) of 4516 and 4522 is 10210676.

LCM(4516,4522) = 10210676

LCM of 4516 and 4522

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

LCM of:
and

Least Common Multiple of 4516 and 4522

LCM of 4516 and 4522 is 10210676

Least common multiple can be found by multiplying the highest exponent prime factors of 4516 and 4522. First we will calculate the prime factors of 4516 and 4522.

Prime Factorization of 4516


2 4516
2 2258
1129 1129
1

Prime factors of 4516 are 2,1129. Prime factorization of 4516 in exponential form is:

4516 = 22×11291

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 4516 and 4522.

LCM(4516,4522) = 22×71×171×191×11291
LCM(4516,4522) = 10210676

Factors of 4516

List of positive integer factors of 4516 that divides 4516 without a remainder.

1, 2, 4, 1129, 2258, 4516

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 4516 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 4516 and 4522, than apply into the LCM equation.

GCF(4516,4522) = 2
LCM(4516,4522) = ( 4516 × 4522) / 2
LCM(4516,4522) = 20421352 / 2
LCM(4516,4522) = 10210676

Properties of LCM 4516 and 4522

(i) The LCM of 4522 and 4516 is associative

LCM of 4516 and 4522 = LCM of 4522 and 4516

Related Least Common Multiples of 4516

Related Least Common Multiples of 4522

Frequently Asked Questions on LCM of 4516 and 4522

1. What is the LCM of 4516 and 4522?

Answer: LCM of 4516 and 4522 is 10210676.

2. What are the Factors of 4516?

Answer: Factors of 4516 are 1, 2, 4, 1129, 2258, 4516. There are 6 integers that are factors of 4516. The greatest factor of 4516 is 4516.

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 4516 and 4522?

Answer:

Least Common Multiple of 4516 and 4522 = 10210676

Step 1: Find the prime factorization of 4516

4516 = 2 x 2 x 1129

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 = 10210676 = 2 x 2 x 7 x 17 x 19 x 1129

Step 4: Therefore, the least common multiple of 4516 and 4522 is 10210676.