Least Common Multiple of 4517 and 4523

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 4523 the smallest integer that is 20430391 that is divisible by both numbers.

Least Common Multiple (LCM) of 4517 and 4523 is 20430391.

LCM(4517,4523) = 20430391

LCM of 4517 and 4523

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

LCM of:
and

Least Common Multiple of 4517 and 4523

LCM of 4517 and 4523 is 20430391

Least common multiple can be found by multiplying the highest exponent prime factors of 4517 and 4523. First we will calculate the prime factors of 4517 and 4523.

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 4523


4523 4523
1

Prime factors of 4523 are 4523. Prime factorization of 4523 in exponential form is:

4523 = 45231

Now multiplying the highest exponent prime factors to calculate the LCM of 4517 and 4523.

LCM(4517,4523) = 45171×45231
LCM(4517,4523) = 20430391

Factors of 4517

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

1, 4517

Factors of 4523

List of positive integer factors of 4523 that divides 4523 without a remainder.

1, 4523

Least Common Multiple of 4517 and 4523 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 4523, than apply into the LCM equation.

GCF(4517,4523) = 1
LCM(4517,4523) = ( 4517 × 4523) / 1
LCM(4517,4523) = 20430391 / 1
LCM(4517,4523) = 20430391

Properties of LCM 4517 and 4523

(i) The LCM of 4523 and 4517 is associative

LCM of 4517 and 4523 = LCM of 4523 and 4517

Related Least Common Multiples of 4517

Related Least Common Multiples of 4523

Frequently Asked Questions on LCM of 4517 and 4523

1. What is the LCM of 4517 and 4523?

Answer: LCM of 4517 and 4523 is 20430391.

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 4523?

Answer: Factors of 4523 are 1, 4523. There are 2 integers that are factors of 4523. The greatest factor of 4523 is 4523.

4. How to Find the LCM of 4517 and 4523?

Answer:

Least Common Multiple of 4517 and 4523 = 20430391

Step 1: Find the prime factorization of 4517

4517 = 4517

Step 2: Find the prime factorization of 4523

4523 = 4523

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

LCM = 20430391 = 4517 x 4523

Step 4: Therefore, the least common multiple of 4517 and 4523 is 20430391.