Least Common Multiple of 7516 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 7516 and 7521 the smallest integer that is 56527836 that is divisible by both numbers.

Least Common Multiple (LCM) of 7516 and 7521 is 56527836.

LCM(7516,7521) = 56527836

LCM of 7516 and 7521

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

LCM of:
and

Least Common Multiple of 7516 and 7521

LCM of 7516 and 7521 is 56527836

Least common multiple can be found by multiplying the highest exponent prime factors of 7516 and 7521. First we will calculate the prime factors of 7516 and 7521.

Prime Factorization of 7516


2 7516
2 3758
1879 1879
1

Prime factors of 7516 are 2,1879. Prime factorization of 7516 in exponential form is:

7516 = 22×18791

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 7516 and 7521.

LCM(7516,7521) = 22×31×231×1091×18791
LCM(7516,7521) = 56527836

Factors of 7516

List of positive integer factors of 7516 that divides 7516 without a remainder.

1, 2, 4, 1879, 3758, 7516

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 7516 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 7516 and 7521, than apply into the LCM equation.

GCF(7516,7521) = 1
LCM(7516,7521) = ( 7516 × 7521) / 1
LCM(7516,7521) = 56527836 / 1
LCM(7516,7521) = 56527836

Properties of LCM 7516 and 7521

(i) The LCM of 7521 and 7516 is associative

LCM of 7516 and 7521 = LCM of 7521 and 7516

Related Least Common Multiples of 7516

Related Least Common Multiples of 7521

Frequently Asked Questions on LCM of 7516 and 7521

1. What is the LCM of 7516 and 7521?

Answer: LCM of 7516 and 7521 is 56527836.

2. What are the Factors of 7516?

Answer: Factors of 7516 are 1, 2, 4, 1879, 3758, 7516. There are 6 integers that are factors of 7516. The greatest factor of 7516 is 7516.

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 7516 and 7521?

Answer:

Least Common Multiple of 7516 and 7521 = 56527836

Step 1: Find the prime factorization of 7516

7516 = 2 x 2 x 1879

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 = 56527836 = 2 x 2 x 3 x 23 x 109 x 1879

Step 4: Therefore, the least common multiple of 7516 and 7521 is 56527836.