Least Common Multiple of 4523 and 4530

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 4530 the smallest integer that is 20489190 that is divisible by both numbers.

Least Common Multiple (LCM) of 4523 and 4530 is 20489190.

LCM(4523,4530) = 20489190

LCM of 4523 and 4530

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

LCM of:
and

Least Common Multiple of 4523 and 4530

LCM of 4523 and 4530 is 20489190

Least common multiple can be found by multiplying the highest exponent prime factors of 4523 and 4530. First we will calculate the prime factors of 4523 and 4530.

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 4530


2 4530
3 2265
5 755
151 151
1

Prime factors of 4530 are 2, 3, 5,151. Prime factorization of 4530 in exponential form is:

4530 = 21×31×51×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 4523 and 4530.

LCM(4523,4530) = 21×31×51×1511×45231
LCM(4523,4530) = 20489190

Factors of 4523

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

1, 4523

Factors of 4530

List of positive integer factors of 4530 that divides 4530 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 151, 302, 453, 755, 906, 1510, 2265, 4530

Least Common Multiple of 4523 and 4530 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 4530, than apply into the LCM equation.

GCF(4523,4530) = 1
LCM(4523,4530) = ( 4523 × 4530) / 1
LCM(4523,4530) = 20489190 / 1
LCM(4523,4530) = 20489190

Properties of LCM 4523 and 4530

(i) The LCM of 4530 and 4523 is associative

LCM of 4523 and 4530 = LCM of 4530 and 4523

Related Least Common Multiples of 4523

Related Least Common Multiples of 4530

Frequently Asked Questions on LCM of 4523 and 4530

1. What is the LCM of 4523 and 4530?

Answer: LCM of 4523 and 4530 is 20489190.

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 4530?

Answer: Factors of 4530 are 1, 2, 3, 5, 6, 10, 15, 30, 151, 302, 453, 755, 906, 1510, 2265, 4530. There are 16 integers that are factors of 4530. The greatest factor of 4530 is 4530.

4. How to Find the LCM of 4523 and 4530?

Answer:

Least Common Multiple of 4523 and 4530 = 20489190

Step 1: Find the prime factorization of 4523

4523 = 4523

Step 2: Find the prime factorization of 4530

4530 = 2 x 3 x 5 x 151

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

LCM = 20489190 = 2 x 3 x 5 x 151 x 4523

Step 4: Therefore, the least common multiple of 4523 and 4530 is 20489190.