Least Common Multiple of 7566 and 7570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7566 and 7570 the smallest integer that is 28637310 that is divisible by both numbers.

Least Common Multiple (LCM) of 7566 and 7570 is 28637310.

LCM(7566,7570) = 28637310

LCM of 7566 and 7570

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

LCM of:
and

Least Common Multiple of 7566 and 7570

LCM of 7566 and 7570 is 28637310

Least common multiple can be found by multiplying the highest exponent prime factors of 7566 and 7570. First we will calculate the prime factors of 7566 and 7570.

Prime Factorization of 7566


2 7566
3 3783
13 1261
97 97
1

Prime factors of 7566 are 2, 3, 13,97. Prime factorization of 7566 in exponential form is:

7566 = 21×31×131×971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7566 and 7570.

LCM(7566,7570) = 21×31×51×131×971×7571
LCM(7566,7570) = 28637310

Factors of 7566

List of positive integer factors of 7566 that divides 7566 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 97, 194, 291, 582, 1261, 2522, 3783, 7566

Factors of 7570

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

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

Least Common Multiple of 7566 and 7570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7566 and 7570, than apply into the LCM equation.

GCF(7566,7570) = 2
LCM(7566,7570) = ( 7566 × 7570) / 2
LCM(7566,7570) = 57274620 / 2
LCM(7566,7570) = 28637310

Properties of LCM 7566 and 7570

(i) The LCM of 7570 and 7566 is associative

LCM of 7566 and 7570 = LCM of 7570 and 7566

Related Least Common Multiples of 7566

Related Least Common Multiples of 7570

Frequently Asked Questions on LCM of 7566 and 7570

1. What is the LCM of 7566 and 7570?

Answer: LCM of 7566 and 7570 is 28637310.

2. What are the Factors of 7566?

Answer: Factors of 7566 are 1, 2, 3, 6, 13, 26, 39, 78, 97, 194, 291, 582, 1261, 2522, 3783, 7566. There are 16 integers that are factors of 7566. The greatest factor of 7566 is 7566.

3. 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.

4. How to Find the LCM of 7566 and 7570?

Answer:

Least Common Multiple of 7566 and 7570 = 28637310

Step 1: Find the prime factorization of 7566

7566 = 2 x 3 x 13 x 97

Step 2: Find the prime factorization of 7570

7570 = 2 x 5 x 757

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

LCM = 28637310 = 2 x 3 x 5 x 13 x 97 x 757

Step 4: Therefore, the least common multiple of 7566 and 7570 is 28637310.