Least Common Multiple of 7544 and 7550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7544 and 7550 the smallest integer that is 28478600 that is divisible by both numbers.

Least Common Multiple (LCM) of 7544 and 7550 is 28478600.

LCM(7544,7550) = 28478600

LCM of 7544 and 7550

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

LCM of:
and

Least Common Multiple of 7544 and 7550

LCM of 7544 and 7550 is 28478600

Least common multiple can be found by multiplying the highest exponent prime factors of 7544 and 7550. First we will calculate the prime factors of 7544 and 7550.

Prime Factorization of 7544


2 7544
2 3772
2 1886
23 943
41 41
1

Prime factors of 7544 are 2, 23,41. Prime factorization of 7544 in exponential form is:

7544 = 23×231×411

Prime Factorization of 7550


2 7550
5 3775
5 755
151 151
1

Prime factors of 7550 are 2, 5,151. Prime factorization of 7550 in exponential form is:

7550 = 21×52×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 7544 and 7550.

LCM(7544,7550) = 23×52×231×411×1511
LCM(7544,7550) = 28478600

Factors of 7544

List of positive integer factors of 7544 that divides 7544 without a remainder.

1, 2, 4, 8, 23, 41, 46, 82, 92, 164, 184, 328, 943, 1886, 3772, 7544

Factors of 7550

List of positive integer factors of 7550 that divides 7550 without a remainder.

1, 2, 5, 10, 25, 50, 151, 302, 755, 1510, 3775, 7550

Least Common Multiple of 7544 and 7550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7544 and 7550, than apply into the LCM equation.

GCF(7544,7550) = 2
LCM(7544,7550) = ( 7544 × 7550) / 2
LCM(7544,7550) = 56957200 / 2
LCM(7544,7550) = 28478600

Properties of LCM 7544 and 7550

(i) The LCM of 7550 and 7544 is associative

LCM of 7544 and 7550 = LCM of 7550 and 7544

Related Least Common Multiples of 7544

Related Least Common Multiples of 7550

Frequently Asked Questions on LCM of 7544 and 7550

1. What is the LCM of 7544 and 7550?

Answer: LCM of 7544 and 7550 is 28478600.

2. What are the Factors of 7544?

Answer: Factors of 7544 are 1, 2, 4, 8, 23, 41, 46, 82, 92, 164, 184, 328, 943, 1886, 3772, 7544. There are 16 integers that are factors of 7544. The greatest factor of 7544 is 7544.

3. What are the Factors of 7550?

Answer: Factors of 7550 are 1, 2, 5, 10, 25, 50, 151, 302, 755, 1510, 3775, 7550. There are 12 integers that are factors of 7550. The greatest factor of 7550 is 7550.

4. How to Find the LCM of 7544 and 7550?

Answer:

Least Common Multiple of 7544 and 7550 = 28478600

Step 1: Find the prime factorization of 7544

7544 = 2 x 2 x 2 x 23 x 41

Step 2: Find the prime factorization of 7550

7550 = 2 x 5 x 5 x 151

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

LCM = 28478600 = 2 x 2 x 2 x 5 x 5 x 23 x 41 x 151

Step 4: Therefore, the least common multiple of 7544 and 7550 is 28478600.