Least Common Multiple of 7569 and 7575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7569 and 7575 the smallest integer that is 19111725 that is divisible by both numbers.

Least Common Multiple (LCM) of 7569 and 7575 is 19111725.

LCM(7569,7575) = 19111725

LCM of 7569 and 7575

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

LCM of:
and

Least Common Multiple of 7569 and 7575

LCM of 7569 and 7575 is 19111725

Least common multiple can be found by multiplying the highest exponent prime factors of 7569 and 7575. First we will calculate the prime factors of 7569 and 7575.

Prime Factorization of 7569


3 7569
3 2523
29 841
29 29
1

Prime factors of 7569 are 3,29. Prime factorization of 7569 in exponential form is:

7569 = 32×292

Prime Factorization of 7575


3 7575
5 2525
5 505
101 101
1

Prime factors of 7575 are 3, 5,101. Prime factorization of 7575 in exponential form is:

7575 = 31×52×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 7569 and 7575.

LCM(7569,7575) = 32×52×292×1011
LCM(7569,7575) = 19111725

Factors of 7569

List of positive integer factors of 7569 that divides 7569 without a remainder.

1, 3, 9, 29, 87, 261, 841, 2523, 7569

Factors of 7575

List of positive integer factors of 7575 that divides 7575 without a remainder.

1, 3, 5, 15, 25, 75, 101, 303, 505, 1515, 2525, 7575

Least Common Multiple of 7569 and 7575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7569 and 7575, than apply into the LCM equation.

GCF(7569,7575) = 3
LCM(7569,7575) = ( 7569 × 7575) / 3
LCM(7569,7575) = 57335175 / 3
LCM(7569,7575) = 19111725

Properties of LCM 7569 and 7575

(i) The LCM of 7575 and 7569 is associative

LCM of 7569 and 7575 = LCM of 7575 and 7569

Related Least Common Multiples of 7569

Related Least Common Multiples of 7575

Frequently Asked Questions on LCM of 7569 and 7575

1. What is the LCM of 7569 and 7575?

Answer: LCM of 7569 and 7575 is 19111725.

2. What are the Factors of 7569?

Answer: Factors of 7569 are 1, 3, 9, 29, 87, 261, 841, 2523, 7569. There are 9 integers that are factors of 7569. The greatest factor of 7569 is 7569.

3. What are the Factors of 7575?

Answer: Factors of 7575 are 1, 3, 5, 15, 25, 75, 101, 303, 505, 1515, 2525, 7575. There are 12 integers that are factors of 7575. The greatest factor of 7575 is 7575.

4. How to Find the LCM of 7569 and 7575?

Answer:

Least Common Multiple of 7569 and 7575 = 19111725

Step 1: Find the prime factorization of 7569

7569 = 3 x 3 x 29 x 29

Step 2: Find the prime factorization of 7575

7575 = 3 x 5 x 5 x 101

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

LCM = 19111725 = 3 x 3 x 5 x 5 x 29 x 29 x 101

Step 4: Therefore, the least common multiple of 7569 and 7575 is 19111725.