Least Common Multiple of 7563 and 7569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7563 and 7569 the smallest integer that is 19081449 that is divisible by both numbers.

Least Common Multiple (LCM) of 7563 and 7569 is 19081449.

LCM(7563,7569) = 19081449

LCM of 7563 and 7569

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

LCM of:
and

Least Common Multiple of 7563 and 7569

LCM of 7563 and 7569 is 19081449

Least common multiple can be found by multiplying the highest exponent prime factors of 7563 and 7569. First we will calculate the prime factors of 7563 and 7569.

Prime Factorization of 7563


3 7563
2521 2521
1

Prime factors of 7563 are 3,2521. Prime factorization of 7563 in exponential form is:

7563 = 31×25211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7563 and 7569.

LCM(7563,7569) = 32×292×25211
LCM(7563,7569) = 19081449

Factors of 7563

List of positive integer factors of 7563 that divides 7563 without a remainder.

1, 3, 2521, 7563

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

Least Common Multiple of 7563 and 7569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7563 and 7569, than apply into the LCM equation.

GCF(7563,7569) = 3
LCM(7563,7569) = ( 7563 × 7569) / 3
LCM(7563,7569) = 57244347 / 3
LCM(7563,7569) = 19081449

Properties of LCM 7563 and 7569

(i) The LCM of 7569 and 7563 is associative

LCM of 7563 and 7569 = LCM of 7569 and 7563

Related Least Common Multiples of 7563

Related Least Common Multiples of 7569

Frequently Asked Questions on LCM of 7563 and 7569

1. What is the LCM of 7563 and 7569?

Answer: LCM of 7563 and 7569 is 19081449.

2. What are the Factors of 7563?

Answer: Factors of 7563 are 1, 3, 2521, 7563. There are 4 integers that are factors of 7563. The greatest factor of 7563 is 7563.

3. 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.

4. How to Find the LCM of 7563 and 7569?

Answer:

Least Common Multiple of 7563 and 7569 = 19081449

Step 1: Find the prime factorization of 7563

7563 = 3 x 2521

Step 2: Find the prime factorization of 7569

7569 = 3 x 3 x 29 x 29

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

LCM = 19081449 = 3 x 3 x 29 x 29 x 2521

Step 4: Therefore, the least common multiple of 7563 and 7569 is 19081449.