Least Common Multiple of 7563 and 7565

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 7565 the smallest integer that is 57214095 that is divisible by both numbers.

Least Common Multiple (LCM) of 7563 and 7565 is 57214095.

LCM(7563,7565) = 57214095

LCM of 7563 and 7565

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

LCM of:
and

Least Common Multiple of 7563 and 7565

LCM of 7563 and 7565 is 57214095

Least common multiple can be found by multiplying the highest exponent prime factors of 7563 and 7565. First we will calculate the prime factors of 7563 and 7565.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 7563 and 7565.

LCM(7563,7565) = 31×51×171×891×25211
LCM(7563,7565) = 57214095

Factors of 7563

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

1, 3, 2521, 7563

Factors of 7565

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

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

Least Common Multiple of 7563 and 7565 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 7565, than apply into the LCM equation.

GCF(7563,7565) = 1
LCM(7563,7565) = ( 7563 × 7565) / 1
LCM(7563,7565) = 57214095 / 1
LCM(7563,7565) = 57214095

Properties of LCM 7563 and 7565

(i) The LCM of 7565 and 7563 is associative

LCM of 7563 and 7565 = LCM of 7565 and 7563

Related Least Common Multiples of 7563

Related Least Common Multiples of 7565

Frequently Asked Questions on LCM of 7563 and 7565

1. What is the LCM of 7563 and 7565?

Answer: LCM of 7563 and 7565 is 57214095.

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 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.

4. How to Find the LCM of 7563 and 7565?

Answer:

Least Common Multiple of 7563 and 7565 = 57214095

Step 1: Find the prime factorization of 7563

7563 = 3 x 2521

Step 2: Find the prime factorization of 7565

7565 = 5 x 17 x 89

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

LCM = 57214095 = 3 x 5 x 17 x 89 x 2521

Step 4: Therefore, the least common multiple of 7563 and 7565 is 57214095.