Least Common Multiple of 4523 and 4527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4523 and 4527 the smallest integer that is 20475621 that is divisible by both numbers.

Least Common Multiple (LCM) of 4523 and 4527 is 20475621.

LCM(4523,4527) = 20475621

LCM of 4523 and 4527

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

LCM of:
and

Least Common Multiple of 4523 and 4527

LCM of 4523 and 4527 is 20475621

Least common multiple can be found by multiplying the highest exponent prime factors of 4523 and 4527. First we will calculate the prime factors of 4523 and 4527.

Prime Factorization of 4523


4523 4523
1

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

4523 = 45231

Prime Factorization of 4527


3 4527
3 1509
503 503
1

Prime factors of 4527 are 3,503. Prime factorization of 4527 in exponential form is:

4527 = 32×5031

Now multiplying the highest exponent prime factors to calculate the LCM of 4523 and 4527.

LCM(4523,4527) = 32×5031×45231
LCM(4523,4527) = 20475621

Factors of 4523

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

1, 4523

Factors of 4527

List of positive integer factors of 4527 that divides 4527 without a remainder.

1, 3, 9, 503, 1509, 4527

Least Common Multiple of 4523 and 4527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4523 and 4527, than apply into the LCM equation.

GCF(4523,4527) = 1
LCM(4523,4527) = ( 4523 × 4527) / 1
LCM(4523,4527) = 20475621 / 1
LCM(4523,4527) = 20475621

Properties of LCM 4523 and 4527

(i) The LCM of 4527 and 4523 is associative

LCM of 4523 and 4527 = LCM of 4527 and 4523

Related Least Common Multiples of 4523

Related Least Common Multiples of 4527

Frequently Asked Questions on LCM of 4523 and 4527

1. What is the LCM of 4523 and 4527?

Answer: LCM of 4523 and 4527 is 20475621.

2. 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.

3. What are the Factors of 4527?

Answer: Factors of 4527 are 1, 3, 9, 503, 1509, 4527. There are 6 integers that are factors of 4527. The greatest factor of 4527 is 4527.

4. How to Find the LCM of 4523 and 4527?

Answer:

Least Common Multiple of 4523 and 4527 = 20475621

Step 1: Find the prime factorization of 4523

4523 = 4523

Step 2: Find the prime factorization of 4527

4527 = 3 x 3 x 503

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

LCM = 20475621 = 3 x 3 x 503 x 4523

Step 4: Therefore, the least common multiple of 4523 and 4527 is 20475621.