Least Common Multiple of 7568 and 7576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7568 and 7576 the smallest integer that is 7166896 that is divisible by both numbers.

Least Common Multiple (LCM) of 7568 and 7576 is 7166896.

LCM(7568,7576) = 7166896

LCM of 7568 and 7576

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

LCM of:
and

Least Common Multiple of 7568 and 7576

LCM of 7568 and 7576 is 7166896

Least common multiple can be found by multiplying the highest exponent prime factors of 7568 and 7576. First we will calculate the prime factors of 7568 and 7576.

Prime Factorization of 7568


2 7568
2 3784
2 1892
2 946
11 473
43 43
1

Prime factors of 7568 are 2, 11,43. Prime factorization of 7568 in exponential form is:

7568 = 24×111×431

Prime Factorization of 7576


2 7576
2 3788
2 1894
947 947
1

Prime factors of 7576 are 2,947. Prime factorization of 7576 in exponential form is:

7576 = 23×9471

Now multiplying the highest exponent prime factors to calculate the LCM of 7568 and 7576.

LCM(7568,7576) = 24×111×431×9471
LCM(7568,7576) = 7166896

Factors of 7568

List of positive integer factors of 7568 that divides 7568 without a remainder.

1, 2, 4, 8, 11, 16, 22, 43, 44, 86, 88, 172, 176, 344, 473, 688, 946, 1892, 3784, 7568

Factors of 7576

List of positive integer factors of 7576 that divides 7576 without a remainder.

1, 2, 4, 8, 947, 1894, 3788, 7576

Least Common Multiple of 7568 and 7576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7568 and 7576, than apply into the LCM equation.

GCF(7568,7576) = 8
LCM(7568,7576) = ( 7568 × 7576) / 8
LCM(7568,7576) = 57335168 / 8
LCM(7568,7576) = 7166896

Properties of LCM 7568 and 7576

(i) The LCM of 7576 and 7568 is associative

LCM of 7568 and 7576 = LCM of 7576 and 7568

Related Least Common Multiples of 7568

Related Least Common Multiples of 7576

Frequently Asked Questions on LCM of 7568 and 7576

1. What is the LCM of 7568 and 7576?

Answer: LCM of 7568 and 7576 is 7166896.

2. What are the Factors of 7568?

Answer: Factors of 7568 are 1, 2, 4, 8, 11, 16, 22, 43, 44, 86, 88, 172, 176, 344, 473, 688, 946, 1892, 3784, 7568. There are 20 integers that are factors of 7568. The greatest factor of 7568 is 7568.

3. What are the Factors of 7576?

Answer: Factors of 7576 are 1, 2, 4, 8, 947, 1894, 3788, 7576. There are 8 integers that are factors of 7576. The greatest factor of 7576 is 7576.

4. How to Find the LCM of 7568 and 7576?

Answer:

Least Common Multiple of 7568 and 7576 = 7166896

Step 1: Find the prime factorization of 7568

7568 = 2 x 2 x 2 x 2 x 11 x 43

Step 2: Find the prime factorization of 7576

7576 = 2 x 2 x 2 x 947

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

LCM = 7166896 = 2 x 2 x 2 x 2 x 11 x 43 x 947

Step 4: Therefore, the least common multiple of 7568 and 7576 is 7166896.