Least Common Multiple of 7547 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 7547 and 7553 the smallest integer that is 57002491 that is divisible by both numbers.

Least Common Multiple (LCM) of 7547 and 7553 is 57002491.

LCM(7547,7553) = 57002491

LCM of 7547 and 7553

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

LCM of:
and

Least Common Multiple of 7547 and 7553

LCM of 7547 and 7553 is 57002491

Least common multiple can be found by multiplying the highest exponent prime factors of 7547 and 7553. First we will calculate the prime factors of 7547 and 7553.

Prime Factorization of 7547


7547 7547
1

Prime factors of 7547 are 7547. Prime factorization of 7547 in exponential form is:

7547 = 75471

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 7547 and 7553.

LCM(7547,7553) = 71×131×831×75471
LCM(7547,7553) = 57002491

Factors of 7547

List of positive integer factors of 7547 that divides 7547 without a remainder.

1, 7547

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 7547 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 7547 and 7553, than apply into the LCM equation.

GCF(7547,7553) = 1
LCM(7547,7553) = ( 7547 × 7553) / 1
LCM(7547,7553) = 57002491 / 1
LCM(7547,7553) = 57002491

Properties of LCM 7547 and 7553

(i) The LCM of 7553 and 7547 is associative

LCM of 7547 and 7553 = LCM of 7553 and 7547

Related Least Common Multiples of 7547

Related Least Common Multiples of 7553

Frequently Asked Questions on LCM of 7547 and 7553

1. What is the LCM of 7547 and 7553?

Answer: LCM of 7547 and 7553 is 57002491.

2. What are the Factors of 7547?

Answer: Factors of 7547 are 1, 7547. There are 2 integers that are factors of 7547. The greatest factor of 7547 is 7547.

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 7547 and 7553?

Answer:

Least Common Multiple of 7547 and 7553 = 57002491

Step 1: Find the prime factorization of 7547

7547 = 7547

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 = 57002491 = 7 x 13 x 83 x 7547

Step 4: Therefore, the least common multiple of 7547 and 7553 is 57002491.