Least Common Multiple of 2753 and 2759

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 2759 the smallest integer that is 7595527 that is divisible by both numbers.

Least Common Multiple (LCM) of 2753 and 2759 is 7595527.

LCM(2753,2759) = 7595527

LCM of 2753 and 2759

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

LCM of:
and

Least Common Multiple of 2753 and 2759

LCM of 2753 and 2759 is 7595527

Least common multiple can be found by multiplying the highest exponent prime factors of 2753 and 2759. First we will calculate the prime factors of 2753 and 2759.

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 2759


31 2759
89 89
1

Prime factors of 2759 are 31,89. Prime factorization of 2759 in exponential form is:

2759 = 311×891

Now multiplying the highest exponent prime factors to calculate the LCM of 2753 and 2759.

LCM(2753,2759) = 311×891×27531
LCM(2753,2759) = 7595527

Factors of 2753

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

1, 2753

Factors of 2759

List of positive integer factors of 2759 that divides 2759 without a remainder.

1, 31, 89, 2759

Least Common Multiple of 2753 and 2759 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 2759, than apply into the LCM equation.

GCF(2753,2759) = 1
LCM(2753,2759) = ( 2753 × 2759) / 1
LCM(2753,2759) = 7595527 / 1
LCM(2753,2759) = 7595527

Properties of LCM 2753 and 2759

(i) The LCM of 2759 and 2753 is associative

LCM of 2753 and 2759 = LCM of 2759 and 2753

Related Least Common Multiples of 2753

Related Least Common Multiples of 2759

Frequently Asked Questions on LCM of 2753 and 2759

1. What is the LCM of 2753 and 2759?

Answer: LCM of 2753 and 2759 is 7595527.

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 2759?

Answer: Factors of 2759 are 1, 31, 89, 2759. There are 4 integers that are factors of 2759. The greatest factor of 2759 is 2759.

4. How to Find the LCM of 2753 and 2759?

Answer:

Least Common Multiple of 2753 and 2759 = 7595527

Step 1: Find the prime factorization of 2753

2753 = 2753

Step 2: Find the prime factorization of 2759

2759 = 31 x 89

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

LCM = 7595527 = 31 x 89 x 2753

Step 4: Therefore, the least common multiple of 2753 and 2759 is 7595527.