Least Common Multiple of 7548 and 7553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7548 and 7553 the smallest integer that is 57010044 that is divisible by both numbers.

Least Common Multiple (LCM) of 7548 and 7553 is 57010044.

LCM(7548,7553) = 57010044

LCM of 7548 and 7553

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

LCM of:
and

Least Common Multiple of 7548 and 7553

LCM of 7548 and 7553 is 57010044

Least common multiple can be found by multiplying the highest exponent prime factors of 7548 and 7553. First we will calculate the prime factors of 7548 and 7553.

Prime Factorization of 7548


2 7548
2 3774
3 1887
17 629
37 37
1

Prime factors of 7548 are 2, 3, 17,37. Prime factorization of 7548 in exponential form is:

7548 = 22×31×171×371

Prime Factorization of 7553


7 7553
13 1079
83 83
1

Prime factors of 7553 are 7, 13,83. Prime factorization of 7553 in exponential form is:

7553 = 71×131×831

Now multiplying the highest exponent prime factors to calculate the LCM of 7548 and 7553.

LCM(7548,7553) = 22×31×71×131×171×371×831
LCM(7548,7553) = 57010044

Factors of 7548

List of positive integer factors of 7548 that divides 7548 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 37, 51, 68, 74, 102, 111, 148, 204, 222, 444, 629, 1258, 1887, 2516, 3774, 7548

Factors of 7553

List of positive integer factors of 7553 that divides 7553 without a remainder.

1, 7, 13, 83, 91, 581, 1079, 7553

Least Common Multiple of 7548 and 7553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7548 and 7553, than apply into the LCM equation.

GCF(7548,7553) = 1
LCM(7548,7553) = ( 7548 × 7553) / 1
LCM(7548,7553) = 57010044 / 1
LCM(7548,7553) = 57010044

Properties of LCM 7548 and 7553

(i) The LCM of 7553 and 7548 is associative

LCM of 7548 and 7553 = LCM of 7553 and 7548

Related Least Common Multiples of 7548

Related Least Common Multiples of 7553

Frequently Asked Questions on LCM of 7548 and 7553

1. What is the LCM of 7548 and 7553?

Answer: LCM of 7548 and 7553 is 57010044.

2. What are the Factors of 7548?

Answer: Factors of 7548 are 1, 2, 3, 4, 6, 12, 17, 34, 37, 51, 68, 74, 102, 111, 148, 204, 222, 444, 629, 1258, 1887, 2516, 3774, 7548. There are 24 integers that are factors of 7548. The greatest factor of 7548 is 7548.

3. What are the Factors of 7553?

Answer: Factors of 7553 are 1, 7, 13, 83, 91, 581, 1079, 7553. There are 8 integers that are factors of 7553. The greatest factor of 7553 is 7553.

4. How to Find the LCM of 7548 and 7553?

Answer:

Least Common Multiple of 7548 and 7553 = 57010044

Step 1: Find the prime factorization of 7548

7548 = 2 x 2 x 3 x 17 x 37

Step 2: Find the prime factorization of 7553

7553 = 7 x 13 x 83

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

LCM = 57010044 = 2 x 2 x 3 x 7 x 13 x 17 x 37 x 83

Step 4: Therefore, the least common multiple of 7548 and 7553 is 57010044.