Least Common Multiple of 7556 and 7563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7556 and 7563 the smallest integer that is 57146028 that is divisible by both numbers.

Least Common Multiple (LCM) of 7556 and 7563 is 57146028.

LCM(7556,7563) = 57146028

LCM of 7556 and 7563

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

LCM of:
and

Least Common Multiple of 7556 and 7563

LCM of 7556 and 7563 is 57146028

Least common multiple can be found by multiplying the highest exponent prime factors of 7556 and 7563. First we will calculate the prime factors of 7556 and 7563.

Prime Factorization of 7556


2 7556
2 3778
1889 1889
1

Prime factors of 7556 are 2,1889. Prime factorization of 7556 in exponential form is:

7556 = 22×18891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7556 and 7563.

LCM(7556,7563) = 22×31×18891×25211
LCM(7556,7563) = 57146028

Factors of 7556

List of positive integer factors of 7556 that divides 7556 without a remainder.

1, 2, 4, 1889, 3778, 7556

Factors of 7563

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

1, 3, 2521, 7563

Least Common Multiple of 7556 and 7563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7556 and 7563, than apply into the LCM equation.

GCF(7556,7563) = 1
LCM(7556,7563) = ( 7556 × 7563) / 1
LCM(7556,7563) = 57146028 / 1
LCM(7556,7563) = 57146028

Properties of LCM 7556 and 7563

(i) The LCM of 7563 and 7556 is associative

LCM of 7556 and 7563 = LCM of 7563 and 7556

Related Least Common Multiples of 7556

Related Least Common Multiples of 7563

Frequently Asked Questions on LCM of 7556 and 7563

1. What is the LCM of 7556 and 7563?

Answer: LCM of 7556 and 7563 is 57146028.

2. What are the Factors of 7556?

Answer: Factors of 7556 are 1, 2, 4, 1889, 3778, 7556. There are 6 integers that are factors of 7556. The greatest factor of 7556 is 7556.

3. 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.

4. How to Find the LCM of 7556 and 7563?

Answer:

Least Common Multiple of 7556 and 7563 = 57146028

Step 1: Find the prime factorization of 7556

7556 = 2 x 2 x 1889

Step 2: Find the prime factorization of 7563

7563 = 3 x 2521

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

LCM = 57146028 = 2 x 2 x 3 x 1889 x 2521

Step 4: Therefore, the least common multiple of 7556 and 7563 is 57146028.