Least Common Multiple of 2731 and 2739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2731 and 2739 the smallest integer that is 7480209 that is divisible by both numbers.

Least Common Multiple (LCM) of 2731 and 2739 is 7480209.

LCM(2731,2739) = 7480209

LCM of 2731 and 2739

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

LCM of:
and

Least Common Multiple of 2731 and 2739

LCM of 2731 and 2739 is 7480209

Least common multiple can be found by multiplying the highest exponent prime factors of 2731 and 2739. First we will calculate the prime factors of 2731 and 2739.

Prime Factorization of 2731


2731 2731
1

Prime factors of 2731 are 2731. Prime factorization of 2731 in exponential form is:

2731 = 27311

Prime Factorization of 2739


3 2739
11 913
83 83
1

Prime factors of 2739 are 3, 11,83. Prime factorization of 2739 in exponential form is:

2739 = 31×111×831

Now multiplying the highest exponent prime factors to calculate the LCM of 2731 and 2739.

LCM(2731,2739) = 31×111×831×27311
LCM(2731,2739) = 7480209

Factors of 2731

List of positive integer factors of 2731 that divides 2731 without a remainder.

1, 2731

Factors of 2739

List of positive integer factors of 2739 that divides 2739 without a remainder.

1, 3, 11, 33, 83, 249, 913, 2739

Least Common Multiple of 2731 and 2739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2731 and 2739, than apply into the LCM equation.

GCF(2731,2739) = 1
LCM(2731,2739) = ( 2731 × 2739) / 1
LCM(2731,2739) = 7480209 / 1
LCM(2731,2739) = 7480209

Properties of LCM 2731 and 2739

(i) The LCM of 2739 and 2731 is associative

LCM of 2731 and 2739 = LCM of 2739 and 2731

Related Least Common Multiples of 2731

Related Least Common Multiples of 2739

Frequently Asked Questions on LCM of 2731 and 2739

1. What is the LCM of 2731 and 2739?

Answer: LCM of 2731 and 2739 is 7480209.

2. What are the Factors of 2731?

Answer: Factors of 2731 are 1, 2731. There are 2 integers that are factors of 2731. The greatest factor of 2731 is 2731.

3. What are the Factors of 2739?

Answer: Factors of 2739 are 1, 3, 11, 33, 83, 249, 913, 2739. There are 8 integers that are factors of 2739. The greatest factor of 2739 is 2739.

4. How to Find the LCM of 2731 and 2739?

Answer:

Least Common Multiple of 2731 and 2739 = 7480209

Step 1: Find the prime factorization of 2731

2731 = 2731

Step 2: Find the prime factorization of 2739

2739 = 3 x 11 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 = 7480209 = 3 x 11 x 83 x 2731

Step 4: Therefore, the least common multiple of 2731 and 2739 is 7480209.