Least Common Multiple of 7569 and 7576

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 7576 the smallest integer that is 57342744 that is divisible by both numbers.

Least Common Multiple (LCM) of 7569 and 7576 is 57342744.

LCM(7569,7576) = 57342744

LCM of 7569 and 7576

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

LCM of:
and

Least Common Multiple of 7569 and 7576

LCM of 7569 and 7576 is 57342744

Least common multiple can be found by multiplying the highest exponent prime factors of 7569 and 7576. First we will calculate the prime factors of 7569 and 7576.

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 7576


2 7576
2 3788
2 1894
947 947
1

Prime factors of 7576 are 2,947. Prime factorization of 7576 in exponential form is:

7576 = 23×9471

Now multiplying the highest exponent prime factors to calculate the LCM of 7569 and 7576.

LCM(7569,7576) = 23×32×292×9471
LCM(7569,7576) = 57342744

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 7576

List of positive integer factors of 7576 that divides 7576 without a remainder.

1, 2, 4, 8, 947, 1894, 3788, 7576

Least Common Multiple of 7569 and 7576 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 7576, than apply into the LCM equation.

GCF(7569,7576) = 1
LCM(7569,7576) = ( 7569 × 7576) / 1
LCM(7569,7576) = 57342744 / 1
LCM(7569,7576) = 57342744

Properties of LCM 7569 and 7576

(i) The LCM of 7576 and 7569 is associative

LCM of 7569 and 7576 = LCM of 7576 and 7569

Related Least Common Multiples of 7569

Related Least Common Multiples of 7576

Frequently Asked Questions on LCM of 7569 and 7576

1. What is the LCM of 7569 and 7576?

Answer: LCM of 7569 and 7576 is 57342744.

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 7576?

Answer: Factors of 7576 are 1, 2, 4, 8, 947, 1894, 3788, 7576. There are 8 integers that are factors of 7576. The greatest factor of 7576 is 7576.

4. How to Find the LCM of 7569 and 7576?

Answer:

Least Common Multiple of 7569 and 7576 = 57342744

Step 1: Find the prime factorization of 7569

7569 = 3 x 3 x 29 x 29

Step 2: Find the prime factorization of 7576

7576 = 2 x 2 x 2 x 947

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

LCM = 57342744 = 2 x 2 x 2 x 3 x 3 x 29 x 29 x 947

Step 4: Therefore, the least common multiple of 7569 and 7576 is 57342744.