Least Common Multiple of 4517 and 4521

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 4521 the smallest integer that is 20421357 that is divisible by both numbers.

Least Common Multiple (LCM) of 4517 and 4521 is 20421357.

LCM(4517,4521) = 20421357

LCM of 4517 and 4521

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

LCM of:
and

Least Common Multiple of 4517 and 4521

LCM of 4517 and 4521 is 20421357

Least common multiple can be found by multiplying the highest exponent prime factors of 4517 and 4521. First we will calculate the prime factors of 4517 and 4521.

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 4521


3 4521
11 1507
137 137
1

Prime factors of 4521 are 3, 11,137. Prime factorization of 4521 in exponential form is:

4521 = 31×111×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 4517 and 4521.

LCM(4517,4521) = 31×111×1371×45171
LCM(4517,4521) = 20421357

Factors of 4517

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

1, 4517

Factors of 4521

List of positive integer factors of 4521 that divides 4521 without a remainder.

1, 3, 11, 33, 137, 411, 1507, 4521

Least Common Multiple of 4517 and 4521 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 4521, than apply into the LCM equation.

GCF(4517,4521) = 1
LCM(4517,4521) = ( 4517 × 4521) / 1
LCM(4517,4521) = 20421357 / 1
LCM(4517,4521) = 20421357

Properties of LCM 4517 and 4521

(i) The LCM of 4521 and 4517 is associative

LCM of 4517 and 4521 = LCM of 4521 and 4517

Related Least Common Multiples of 4517

Related Least Common Multiples of 4521

Frequently Asked Questions on LCM of 4517 and 4521

1. What is the LCM of 4517 and 4521?

Answer: LCM of 4517 and 4521 is 20421357.

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 4521?

Answer: Factors of 4521 are 1, 3, 11, 33, 137, 411, 1507, 4521. There are 8 integers that are factors of 4521. The greatest factor of 4521 is 4521.

4. How to Find the LCM of 4517 and 4521?

Answer:

Least Common Multiple of 4517 and 4521 = 20421357

Step 1: Find the prime factorization of 4517

4517 = 4517

Step 2: Find the prime factorization of 4521

4521 = 3 x 11 x 137

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

LCM = 20421357 = 3 x 11 x 137 x 4517

Step 4: Therefore, the least common multiple of 4517 and 4521 is 20421357.