Least Common Multiple of 4517 and 4525

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 4525 the smallest integer that is 20439425 that is divisible by both numbers.

Least Common Multiple (LCM) of 4517 and 4525 is 20439425.

LCM(4517,4525) = 20439425

LCM of 4517 and 4525

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

LCM of:
and

Least Common Multiple of 4517 and 4525

LCM of 4517 and 4525 is 20439425

Least common multiple can be found by multiplying the highest exponent prime factors of 4517 and 4525. First we will calculate the prime factors of 4517 and 4525.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 4517 and 4525.

LCM(4517,4525) = 52×1811×45171
LCM(4517,4525) = 20439425

Factors of 4517

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

1, 4517

Factors of 4525

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

1, 5, 25, 181, 905, 4525

Least Common Multiple of 4517 and 4525 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 4525, than apply into the LCM equation.

GCF(4517,4525) = 1
LCM(4517,4525) = ( 4517 × 4525) / 1
LCM(4517,4525) = 20439425 / 1
LCM(4517,4525) = 20439425

Properties of LCM 4517 and 4525

(i) The LCM of 4525 and 4517 is associative

LCM of 4517 and 4525 = LCM of 4525 and 4517

Related Least Common Multiples of 4517

Related Least Common Multiples of 4525

Frequently Asked Questions on LCM of 4517 and 4525

1. What is the LCM of 4517 and 4525?

Answer: LCM of 4517 and 4525 is 20439425.

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 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.

4. How to Find the LCM of 4517 and 4525?

Answer:

Least Common Multiple of 4517 and 4525 = 20439425

Step 1: Find the prime factorization of 4517

4517 = 4517

Step 2: Find the prime factorization of 4525

4525 = 5 x 5 x 181

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

LCM = 20439425 = 5 x 5 x 181 x 4517

Step 4: Therefore, the least common multiple of 4517 and 4525 is 20439425.