Least Common Multiple of 7517 and 7521

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7517 and 7521 the smallest integer that is 56535357 that is divisible by both numbers.

Least Common Multiple (LCM) of 7517 and 7521 is 56535357.

LCM(7517,7521) = 56535357

LCM of 7517 and 7521

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

LCM of:
and

Least Common Multiple of 7517 and 7521

LCM of 7517 and 7521 is 56535357

Least common multiple can be found by multiplying the highest exponent prime factors of 7517 and 7521. First we will calculate the prime factors of 7517 and 7521.

Prime Factorization of 7517


7517 7517
1

Prime factors of 7517 are 7517. Prime factorization of 7517 in exponential form is:

7517 = 75171

Prime Factorization of 7521


3 7521
23 2507
109 109
1

Prime factors of 7521 are 3, 23,109. Prime factorization of 7521 in exponential form is:

7521 = 31×231×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 7517 and 7521.

LCM(7517,7521) = 31×231×1091×75171
LCM(7517,7521) = 56535357

Factors of 7517

List of positive integer factors of 7517 that divides 7517 without a remainder.

1, 7517

Factors of 7521

List of positive integer factors of 7521 that divides 7521 without a remainder.

1, 3, 23, 69, 109, 327, 2507, 7521

Least Common Multiple of 7517 and 7521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7517 and 7521, than apply into the LCM equation.

GCF(7517,7521) = 1
LCM(7517,7521) = ( 7517 × 7521) / 1
LCM(7517,7521) = 56535357 / 1
LCM(7517,7521) = 56535357

Properties of LCM 7517 and 7521

(i) The LCM of 7521 and 7517 is associative

LCM of 7517 and 7521 = LCM of 7521 and 7517

Related Least Common Multiples of 7517

Related Least Common Multiples of 7521

Frequently Asked Questions on LCM of 7517 and 7521

1. What is the LCM of 7517 and 7521?

Answer: LCM of 7517 and 7521 is 56535357.

2. What are the Factors of 7517?

Answer: Factors of 7517 are 1, 7517. There are 2 integers that are factors of 7517. The greatest factor of 7517 is 7517.

3. What are the Factors of 7521?

Answer: Factors of 7521 are 1, 3, 23, 69, 109, 327, 2507, 7521. There are 8 integers that are factors of 7521. The greatest factor of 7521 is 7521.

4. How to Find the LCM of 7517 and 7521?

Answer:

Least Common Multiple of 7517 and 7521 = 56535357

Step 1: Find the prime factorization of 7517

7517 = 7517

Step 2: Find the prime factorization of 7521

7521 = 3 x 23 x 109

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

LCM = 56535357 = 3 x 23 x 109 x 7517

Step 4: Therefore, the least common multiple of 7517 and 7521 is 56535357.