Least Common Multiple of 2753 and 2757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2753 and 2757 the smallest integer that is 7590021 that is divisible by both numbers.

Least Common Multiple (LCM) of 2753 and 2757 is 7590021.

LCM(2753,2757) = 7590021

LCM of 2753 and 2757

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

LCM of:
and

Least Common Multiple of 2753 and 2757

LCM of 2753 and 2757 is 7590021

Least common multiple can be found by multiplying the highest exponent prime factors of 2753 and 2757. First we will calculate the prime factors of 2753 and 2757.

Prime Factorization of 2753


2753 2753
1

Prime factors of 2753 are 2753. Prime factorization of 2753 in exponential form is:

2753 = 27531

Prime Factorization of 2757


3 2757
919 919
1

Prime factors of 2757 are 3,919. Prime factorization of 2757 in exponential form is:

2757 = 31×9191

Now multiplying the highest exponent prime factors to calculate the LCM of 2753 and 2757.

LCM(2753,2757) = 31×9191×27531
LCM(2753,2757) = 7590021

Factors of 2753

List of positive integer factors of 2753 that divides 2753 without a remainder.

1, 2753

Factors of 2757

List of positive integer factors of 2757 that divides 2757 without a remainder.

1, 3, 919, 2757

Least Common Multiple of 2753 and 2757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2753 and 2757, than apply into the LCM equation.

GCF(2753,2757) = 1
LCM(2753,2757) = ( 2753 × 2757) / 1
LCM(2753,2757) = 7590021 / 1
LCM(2753,2757) = 7590021

Properties of LCM 2753 and 2757

(i) The LCM of 2757 and 2753 is associative

LCM of 2753 and 2757 = LCM of 2757 and 2753

Related Least Common Multiples of 2753

Related Least Common Multiples of 2757

Frequently Asked Questions on LCM of 2753 and 2757

1. What is the LCM of 2753 and 2757?

Answer: LCM of 2753 and 2757 is 7590021.

2. What are the Factors of 2753?

Answer: Factors of 2753 are 1, 2753. There are 2 integers that are factors of 2753. The greatest factor of 2753 is 2753.

3. What are the Factors of 2757?

Answer: Factors of 2757 are 1, 3, 919, 2757. There are 4 integers that are factors of 2757. The greatest factor of 2757 is 2757.

4. How to Find the LCM of 2753 and 2757?

Answer:

Least Common Multiple of 2753 and 2757 = 7590021

Step 1: Find the prime factorization of 2753

2753 = 2753

Step 2: Find the prime factorization of 2757

2757 = 3 x 919

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

LCM = 7590021 = 3 x 919 x 2753

Step 4: Therefore, the least common multiple of 2753 and 2757 is 7590021.