Least Common Multiple of 7569 and 7573

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 7573 the smallest integer that is 57320037 that is divisible by both numbers.

Least Common Multiple (LCM) of 7569 and 7573 is 57320037.

LCM(7569,7573) = 57320037

LCM of 7569 and 7573

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

LCM of:
and

Least Common Multiple of 7569 and 7573

LCM of 7569 and 7573 is 57320037

Least common multiple can be found by multiplying the highest exponent prime factors of 7569 and 7573. First we will calculate the prime factors of 7569 and 7573.

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 7573


7573 7573
1

Prime factors of 7573 are 7573. Prime factorization of 7573 in exponential form is:

7573 = 75731

Now multiplying the highest exponent prime factors to calculate the LCM of 7569 and 7573.

LCM(7569,7573) = 32×292×75731
LCM(7569,7573) = 57320037

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 7573

List of positive integer factors of 7573 that divides 7573 without a remainder.

1, 7573

Least Common Multiple of 7569 and 7573 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 7573, than apply into the LCM equation.

GCF(7569,7573) = 1
LCM(7569,7573) = ( 7569 × 7573) / 1
LCM(7569,7573) = 57320037 / 1
LCM(7569,7573) = 57320037

Properties of LCM 7569 and 7573

(i) The LCM of 7573 and 7569 is associative

LCM of 7569 and 7573 = LCM of 7573 and 7569

Related Least Common Multiples of 7569

Related Least Common Multiples of 7573

Frequently Asked Questions on LCM of 7569 and 7573

1. What is the LCM of 7569 and 7573?

Answer: LCM of 7569 and 7573 is 57320037.

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 7573?

Answer: Factors of 7573 are 1, 7573. There are 2 integers that are factors of 7573. The greatest factor of 7573 is 7573.

4. How to Find the LCM of 7569 and 7573?

Answer:

Least Common Multiple of 7569 and 7573 = 57320037

Step 1: Find the prime factorization of 7569

7569 = 3 x 3 x 29 x 29

Step 2: Find the prime factorization of 7573

7573 = 7573

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

LCM = 57320037 = 3 x 3 x 29 x 29 x 7573

Step 4: Therefore, the least common multiple of 7569 and 7573 is 57320037.