Least Common Multiple of 7516 and 7520

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 7520 the smallest integer that is 14130080 that is divisible by both numbers.

Least Common Multiple (LCM) of 7516 and 7520 is 14130080.

LCM(7516,7520) = 14130080

LCM of 7516 and 7520

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

LCM of:
and

Least Common Multiple of 7516 and 7520

LCM of 7516 and 7520 is 14130080

Least common multiple can be found by multiplying the highest exponent prime factors of 7516 and 7520. First we will calculate the prime factors of 7516 and 7520.

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 7520


2 7520
2 3760
2 1880
2 940
2 470
5 235
47 47
1

Prime factors of 7520 are 2, 5,47. Prime factorization of 7520 in exponential form is:

7520 = 25×51×471

Now multiplying the highest exponent prime factors to calculate the LCM of 7516 and 7520.

LCM(7516,7520) = 25×51×471×18791
LCM(7516,7520) = 14130080

Factors of 7516

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

1, 2, 4, 1879, 3758, 7516

Factors of 7520

List of positive integer factors of 7520 that divides 7520 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 47, 80, 94, 160, 188, 235, 376, 470, 752, 940, 1504, 1880, 3760, 7520

Least Common Multiple of 7516 and 7520 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 7520, than apply into the LCM equation.

GCF(7516,7520) = 4
LCM(7516,7520) = ( 7516 × 7520) / 4
LCM(7516,7520) = 56520320 / 4
LCM(7516,7520) = 14130080

Properties of LCM 7516 and 7520

(i) The LCM of 7520 and 7516 is associative

LCM of 7516 and 7520 = LCM of 7520 and 7516

Related Least Common Multiples of 7516

Related Least Common Multiples of 7520

Frequently Asked Questions on LCM of 7516 and 7520

1. What is the LCM of 7516 and 7520?

Answer: LCM of 7516 and 7520 is 14130080.

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 7520?

Answer: Factors of 7520 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 47, 80, 94, 160, 188, 235, 376, 470, 752, 940, 1504, 1880, 3760, 7520. There are 24 integers that are factors of 7520. The greatest factor of 7520 is 7520.

4. How to Find the LCM of 7516 and 7520?

Answer:

Least Common Multiple of 7516 and 7520 = 14130080

Step 1: Find the prime factorization of 7516

7516 = 2 x 2 x 1879

Step 2: Find the prime factorization of 7520

7520 = 2 x 2 x 2 x 2 x 2 x 5 x 47

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

LCM = 14130080 = 2 x 2 x 2 x 2 x 2 x 5 x 47 x 1879

Step 4: Therefore, the least common multiple of 7516 and 7520 is 14130080.