Least Common Multiple of 7570 and 7578

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 7578 the smallest integer that is 28682730 that is divisible by both numbers.

Least Common Multiple (LCM) of 7570 and 7578 is 28682730.

LCM(7570,7578) = 28682730

LCM of 7570 and 7578

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

LCM of:
and

Least Common Multiple of 7570 and 7578

LCM of 7570 and 7578 is 28682730

Least common multiple can be found by multiplying the highest exponent prime factors of 7570 and 7578. First we will calculate the prime factors of 7570 and 7578.

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 7578


2 7578
3 3789
3 1263
421 421
1

Prime factors of 7578 are 2, 3,421. Prime factorization of 7578 in exponential form is:

7578 = 21×32×4211

Now multiplying the highest exponent prime factors to calculate the LCM of 7570 and 7578.

LCM(7570,7578) = 21×32×51×4211×7571
LCM(7570,7578) = 28682730

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 7578

List of positive integer factors of 7578 that divides 7578 without a remainder.

1, 2, 3, 6, 9, 18, 421, 842, 1263, 2526, 3789, 7578

Least Common Multiple of 7570 and 7578 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 7578, than apply into the LCM equation.

GCF(7570,7578) = 2
LCM(7570,7578) = ( 7570 × 7578) / 2
LCM(7570,7578) = 57365460 / 2
LCM(7570,7578) = 28682730

Properties of LCM 7570 and 7578

(i) The LCM of 7578 and 7570 is associative

LCM of 7570 and 7578 = LCM of 7578 and 7570

Related Least Common Multiples of 7570

Related Least Common Multiples of 7578

Frequently Asked Questions on LCM of 7570 and 7578

1. What is the LCM of 7570 and 7578?

Answer: LCM of 7570 and 7578 is 28682730.

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 7578?

Answer: Factors of 7578 are 1, 2, 3, 6, 9, 18, 421, 842, 1263, 2526, 3789, 7578. There are 12 integers that are factors of 7578. The greatest factor of 7578 is 7578.

4. How to Find the LCM of 7570 and 7578?

Answer:

Least Common Multiple of 7570 and 7578 = 28682730

Step 1: Find the prime factorization of 7570

7570 = 2 x 5 x 757

Step 2: Find the prime factorization of 7578

7578 = 2 x 3 x 3 x 421

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

LCM = 28682730 = 2 x 3 x 3 x 5 x 421 x 757

Step 4: Therefore, the least common multiple of 7570 and 7578 is 28682730.