Least Common Multiple of 4525 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 4525 and 4529 the smallest integer that is 20493725 that is divisible by both numbers.

Least Common Multiple (LCM) of 4525 and 4529 is 20493725.

LCM(4525,4529) = 20493725

LCM of 4525 and 4529

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

LCM of:
and

Least Common Multiple of 4525 and 4529

LCM of 4525 and 4529 is 20493725

Least common multiple can be found by multiplying the highest exponent prime factors of 4525 and 4529. First we will calculate the prime factors of 4525 and 4529.

Prime Factorization of 4525


5 4525
5 905
181 181
1

Prime factors of 4525 are 5,181. Prime factorization of 4525 in exponential form is:

4525 = 52×1811

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 4525 and 4529.

LCM(4525,4529) = 52×71×1811×6471
LCM(4525,4529) = 20493725

Factors of 4525

List of positive integer factors of 4525 that divides 4525 without a remainder.

1, 5, 25, 181, 905, 4525

Factors of 4529

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

1, 7, 647, 4529

Least Common Multiple of 4525 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 4525 and 4529, than apply into the LCM equation.

GCF(4525,4529) = 1
LCM(4525,4529) = ( 4525 × 4529) / 1
LCM(4525,4529) = 20493725 / 1
LCM(4525,4529) = 20493725

Properties of LCM 4525 and 4529

(i) The LCM of 4529 and 4525 is associative

LCM of 4525 and 4529 = LCM of 4529 and 4525

Related Least Common Multiples of 4525

Related Least Common Multiples of 4529

Frequently Asked Questions on LCM of 4525 and 4529

1. What is the LCM of 4525 and 4529?

Answer: LCM of 4525 and 4529 is 20493725.

2. What are the Factors of 4525?

Answer: Factors of 4525 are 1, 5, 25, 181, 905, 4525. There are 6 integers that are factors of 4525. The greatest factor of 4525 is 4525.

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 4525 and 4529?

Answer:

Least Common Multiple of 4525 and 4529 = 20493725

Step 1: Find the prime factorization of 4525

4525 = 5 x 5 x 181

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 = 20493725 = 5 x 5 x 7 x 181 x 647

Step 4: Therefore, the least common multiple of 4525 and 4529 is 20493725.