Least Common Multiple of 7553 and 7557

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7553 and 7557 the smallest integer that is 57078021 that is divisible by both numbers.

Least Common Multiple (LCM) of 7553 and 7557 is 57078021.

LCM(7553,7557) = 57078021

LCM of 7553 and 7557

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

LCM of:
and

Least Common Multiple of 7553 and 7557

LCM of 7553 and 7557 is 57078021

Least common multiple can be found by multiplying the highest exponent prime factors of 7553 and 7557. First we will calculate the prime factors of 7553 and 7557.

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

Prime Factorization of 7557


3 7557
11 2519
229 229
1

Prime factors of 7557 are 3, 11,229. Prime factorization of 7557 in exponential form is:

7557 = 31×111×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 7553 and 7557.

LCM(7553,7557) = 31×71×111×131×831×2291
LCM(7553,7557) = 57078021

Factors of 7553

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

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

Factors of 7557

List of positive integer factors of 7557 that divides 7557 without a remainder.

1, 3, 11, 33, 229, 687, 2519, 7557

Least Common Multiple of 7553 and 7557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7553 and 7557, than apply into the LCM equation.

GCF(7553,7557) = 1
LCM(7553,7557) = ( 7553 × 7557) / 1
LCM(7553,7557) = 57078021 / 1
LCM(7553,7557) = 57078021

Properties of LCM 7553 and 7557

(i) The LCM of 7557 and 7553 is associative

LCM of 7553 and 7557 = LCM of 7557 and 7553

Related Least Common Multiples of 7553

Related Least Common Multiples of 7557

Frequently Asked Questions on LCM of 7553 and 7557

1. What is the LCM of 7553 and 7557?

Answer: LCM of 7553 and 7557 is 57078021.

2. 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.

3. What are the Factors of 7557?

Answer: Factors of 7557 are 1, 3, 11, 33, 229, 687, 2519, 7557. There are 8 integers that are factors of 7557. The greatest factor of 7557 is 7557.

4. How to Find the LCM of 7553 and 7557?

Answer:

Least Common Multiple of 7553 and 7557 = 57078021

Step 1: Find the prime factorization of 7553

7553 = 7 x 13 x 83

Step 2: Find the prime factorization of 7557

7557 = 3 x 11 x 229

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

LCM = 57078021 = 3 x 7 x 11 x 13 x 83 x 229

Step 4: Therefore, the least common multiple of 7553 and 7557 is 57078021.