Least Common Multiple of 7516 and 7523

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 7523 the smallest integer that is 56542868 that is divisible by both numbers.

Least Common Multiple (LCM) of 7516 and 7523 is 56542868.

LCM(7516,7523) = 56542868

LCM of 7516 and 7523

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

LCM of:
and

Least Common Multiple of 7516 and 7523

LCM of 7516 and 7523 is 56542868

Least common multiple can be found by multiplying the highest exponent prime factors of 7516 and 7523. First we will calculate the prime factors of 7516 and 7523.

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 7523


7523 7523
1

Prime factors of 7523 are 7523. Prime factorization of 7523 in exponential form is:

7523 = 75231

Now multiplying the highest exponent prime factors to calculate the LCM of 7516 and 7523.

LCM(7516,7523) = 22×18791×75231
LCM(7516,7523) = 56542868

Factors of 7516

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

1, 2, 4, 1879, 3758, 7516

Factors of 7523

List of positive integer factors of 7523 that divides 7523 without a remainder.

1, 7523

Least Common Multiple of 7516 and 7523 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 7523, than apply into the LCM equation.

GCF(7516,7523) = 1
LCM(7516,7523) = ( 7516 × 7523) / 1
LCM(7516,7523) = 56542868 / 1
LCM(7516,7523) = 56542868

Properties of LCM 7516 and 7523

(i) The LCM of 7523 and 7516 is associative

LCM of 7516 and 7523 = LCM of 7523 and 7516

Related Least Common Multiples of 7516

Related Least Common Multiples of 7523

Frequently Asked Questions on LCM of 7516 and 7523

1. What is the LCM of 7516 and 7523?

Answer: LCM of 7516 and 7523 is 56542868.

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 7523?

Answer: Factors of 7523 are 1, 7523. There are 2 integers that are factors of 7523. The greatest factor of 7523 is 7523.

4. How to Find the LCM of 7516 and 7523?

Answer:

Least Common Multiple of 7516 and 7523 = 56542868

Step 1: Find the prime factorization of 7516

7516 = 2 x 2 x 1879

Step 2: Find the prime factorization of 7523

7523 = 7523

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

LCM = 56542868 = 2 x 2 x 1879 x 7523

Step 4: Therefore, the least common multiple of 7516 and 7523 is 56542868.