Least Common Multiple of 7570 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 7570 and 7576 the smallest integer that is 28675160 that is divisible by both numbers.

Least Common Multiple (LCM) of 7570 and 7576 is 28675160.

LCM(7570,7576) = 28675160

LCM of 7570 and 7576

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

LCM of:
and

Least Common Multiple of 7570 and 7576

LCM of 7570 and 7576 is 28675160

Least common multiple can be found by multiplying the highest exponent prime factors of 7570 and 7576. First we will calculate the prime factors of 7570 and 7576.

Prime Factorization of 7570


2 7570
5 3785
757 757
1

Prime factors of 7570 are 2, 5,757. Prime factorization of 7570 in exponential form is:

7570 = 21×51×7571

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 7570 and 7576.

LCM(7570,7576) = 23×51×7571×9471
LCM(7570,7576) = 28675160

Factors of 7570

List of positive integer factors of 7570 that divides 7570 without a remainder.

1, 2, 5, 10, 757, 1514, 3785, 7570

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 7570 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 7570 and 7576, than apply into the LCM equation.

GCF(7570,7576) = 2
LCM(7570,7576) = ( 7570 × 7576) / 2
LCM(7570,7576) = 57350320 / 2
LCM(7570,7576) = 28675160

Properties of LCM 7570 and 7576

(i) The LCM of 7576 and 7570 is associative

LCM of 7570 and 7576 = LCM of 7576 and 7570

Related Least Common Multiples of 7570

Related Least Common Multiples of 7576

Frequently Asked Questions on LCM of 7570 and 7576

1. What is the LCM of 7570 and 7576?

Answer: LCM of 7570 and 7576 is 28675160.

2. What are the Factors of 7570?

Answer: Factors of 7570 are 1, 2, 5, 10, 757, 1514, 3785, 7570. There are 8 integers that are factors of 7570. The greatest factor of 7570 is 7570.

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 7570 and 7576?

Answer:

Least Common Multiple of 7570 and 7576 = 28675160

Step 1: Find the prime factorization of 7570

7570 = 2 x 5 x 757

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 = 28675160 = 2 x 2 x 2 x 5 x 757 x 947

Step 4: Therefore, the least common multiple of 7570 and 7576 is 28675160.