Least Common Multiple of 4523 and 4529

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 4529 the smallest integer that is 20484667 that is divisible by both numbers.

Least Common Multiple (LCM) of 4523 and 4529 is 20484667.

LCM(4523,4529) = 20484667

LCM of 4523 and 4529

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

LCM of:
and

Least Common Multiple of 4523 and 4529

LCM of 4523 and 4529 is 20484667

Least common multiple can be found by multiplying the highest exponent prime factors of 4523 and 4529. First we will calculate the prime factors of 4523 and 4529.

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 4529


7 4529
647 647
1

Prime factors of 4529 are 7,647. Prime factorization of 4529 in exponential form is:

4529 = 71×6471

Now multiplying the highest exponent prime factors to calculate the LCM of 4523 and 4529.

LCM(4523,4529) = 71×6471×45231
LCM(4523,4529) = 20484667

Factors of 4523

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

1, 4523

Factors of 4529

List of positive integer factors of 4529 that divides 4529 without a remainder.

1, 7, 647, 4529

Least Common Multiple of 4523 and 4529 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 4529, than apply into the LCM equation.

GCF(4523,4529) = 1
LCM(4523,4529) = ( 4523 × 4529) / 1
LCM(4523,4529) = 20484667 / 1
LCM(4523,4529) = 20484667

Properties of LCM 4523 and 4529

(i) The LCM of 4529 and 4523 is associative

LCM of 4523 and 4529 = LCM of 4529 and 4523

Related Least Common Multiples of 4523

Related Least Common Multiples of 4529

Frequently Asked Questions on LCM of 4523 and 4529

1. What is the LCM of 4523 and 4529?

Answer: LCM of 4523 and 4529 is 20484667.

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 4529?

Answer: Factors of 4529 are 1, 7, 647, 4529. There are 4 integers that are factors of 4529. The greatest factor of 4529 is 4529.

4. How to Find the LCM of 4523 and 4529?

Answer:

Least Common Multiple of 4523 and 4529 = 20484667

Step 1: Find the prime factorization of 4523

4523 = 4523

Step 2: Find the prime factorization of 4529

4529 = 7 x 647

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

LCM = 20484667 = 7 x 647 x 4523

Step 4: Therefore, the least common multiple of 4523 and 4529 is 20484667.