Least Common Multiple of 7565 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 7565 and 7572 the smallest integer that is 57282180 that is divisible by both numbers.

Least Common Multiple (LCM) of 7565 and 7572 is 57282180.

LCM(7565,7572) = 57282180

LCM of 7565 and 7572

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

LCM of:
and

Least Common Multiple of 7565 and 7572

LCM of 7565 and 7572 is 57282180

Least common multiple can be found by multiplying the highest exponent prime factors of 7565 and 7572. First we will calculate the prime factors of 7565 and 7572.

Prime Factorization of 7565


5 7565
17 1513
89 89
1

Prime factors of 7565 are 5, 17,89. Prime factorization of 7565 in exponential form is:

7565 = 51×171×891

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 7565 and 7572.

LCM(7565,7572) = 22×31×51×171×891×6311
LCM(7565,7572) = 57282180

Factors of 7565

List of positive integer factors of 7565 that divides 7565 without a remainder.

1, 5, 17, 85, 89, 445, 1513, 7565

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 7565 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 7565 and 7572, than apply into the LCM equation.

GCF(7565,7572) = 1
LCM(7565,7572) = ( 7565 × 7572) / 1
LCM(7565,7572) = 57282180 / 1
LCM(7565,7572) = 57282180

Properties of LCM 7565 and 7572

(i) The LCM of 7572 and 7565 is associative

LCM of 7565 and 7572 = LCM of 7572 and 7565

Related Least Common Multiples of 7565

Related Least Common Multiples of 7572

Frequently Asked Questions on LCM of 7565 and 7572

1. What is the LCM of 7565 and 7572?

Answer: LCM of 7565 and 7572 is 57282180.

2. What are the Factors of 7565?

Answer: Factors of 7565 are 1, 5, 17, 85, 89, 445, 1513, 7565. There are 8 integers that are factors of 7565. The greatest factor of 7565 is 7565.

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 7565 and 7572?

Answer:

Least Common Multiple of 7565 and 7572 = 57282180

Step 1: Find the prime factorization of 7565

7565 = 5 x 17 x 89

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 = 57282180 = 2 x 2 x 3 x 5 x 17 x 89 x 631

Step 4: Therefore, the least common multiple of 7565 and 7572 is 57282180.