Least Common Multiple of 7566 and 7572

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 7572 the smallest integer that is 9548292 that is divisible by both numbers.

Least Common Multiple (LCM) of 7566 and 7572 is 9548292.

LCM(7566,7572) = 9548292

LCM of 7566 and 7572

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

LCM of:
and

Least Common Multiple of 7566 and 7572

LCM of 7566 and 7572 is 9548292

Least common multiple can be found by multiplying the highest exponent prime factors of 7566 and 7572. First we will calculate the prime factors of 7566 and 7572.

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 7572


2 7572
2 3786
3 1893
631 631
1

Prime factors of 7572 are 2, 3,631. Prime factorization of 7572 in exponential form is:

7572 = 22×31×6311

Now multiplying the highest exponent prime factors to calculate the LCM of 7566 and 7572.

LCM(7566,7572) = 22×31×131×971×6311
LCM(7566,7572) = 9548292

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 7572

List of positive integer factors of 7572 that divides 7572 without a remainder.

1, 2, 3, 4, 6, 12, 631, 1262, 1893, 2524, 3786, 7572

Least Common Multiple of 7566 and 7572 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 7572, than apply into the LCM equation.

GCF(7566,7572) = 6
LCM(7566,7572) = ( 7566 × 7572) / 6
LCM(7566,7572) = 57289752 / 6
LCM(7566,7572) = 9548292

Properties of LCM 7566 and 7572

(i) The LCM of 7572 and 7566 is associative

LCM of 7566 and 7572 = LCM of 7572 and 7566

Related Least Common Multiples of 7566

Related Least Common Multiples of 7572

Frequently Asked Questions on LCM of 7566 and 7572

1. What is the LCM of 7566 and 7572?

Answer: LCM of 7566 and 7572 is 9548292.

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 7572?

Answer: Factors of 7572 are 1, 2, 3, 4, 6, 12, 631, 1262, 1893, 2524, 3786, 7572. There are 12 integers that are factors of 7572. The greatest factor of 7572 is 7572.

4. How to Find the LCM of 7566 and 7572?

Answer:

Least Common Multiple of 7566 and 7572 = 9548292

Step 1: Find the prime factorization of 7566

7566 = 2 x 3 x 13 x 97

Step 2: Find the prime factorization of 7572

7572 = 2 x 2 x 3 x 631

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

LCM = 9548292 = 2 x 2 x 3 x 13 x 97 x 631

Step 4: Therefore, the least common multiple of 7566 and 7572 is 9548292.