Least Common Multiple of 2731 and 2735

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 2735 the smallest integer that is 7469285 that is divisible by both numbers.

Least Common Multiple (LCM) of 2731 and 2735 is 7469285.

LCM(2731,2735) = 7469285

LCM of 2731 and 2735

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

LCM of:
and

Least Common Multiple of 2731 and 2735

LCM of 2731 and 2735 is 7469285

Least common multiple can be found by multiplying the highest exponent prime factors of 2731 and 2735. First we will calculate the prime factors of 2731 and 2735.

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 2735


5 2735
547 547
1

Prime factors of 2735 are 5,547. Prime factorization of 2735 in exponential form is:

2735 = 51×5471

Now multiplying the highest exponent prime factors to calculate the LCM of 2731 and 2735.

LCM(2731,2735) = 51×5471×27311
LCM(2731,2735) = 7469285

Factors of 2731

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

1, 2731

Factors of 2735

List of positive integer factors of 2735 that divides 2735 without a remainder.

1, 5, 547, 2735

Least Common Multiple of 2731 and 2735 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 2735, than apply into the LCM equation.

GCF(2731,2735) = 1
LCM(2731,2735) = ( 2731 × 2735) / 1
LCM(2731,2735) = 7469285 / 1
LCM(2731,2735) = 7469285

Properties of LCM 2731 and 2735

(i) The LCM of 2735 and 2731 is associative

LCM of 2731 and 2735 = LCM of 2735 and 2731

Related Least Common Multiples of 2731

Related Least Common Multiples of 2735

Frequently Asked Questions on LCM of 2731 and 2735

1. What is the LCM of 2731 and 2735?

Answer: LCM of 2731 and 2735 is 7469285.

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 2735?

Answer: Factors of 2735 are 1, 5, 547, 2735. There are 4 integers that are factors of 2735. The greatest factor of 2735 is 2735.

4. How to Find the LCM of 2731 and 2735?

Answer:

Least Common Multiple of 2731 and 2735 = 7469285

Step 1: Find the prime factorization of 2731

2731 = 2731

Step 2: Find the prime factorization of 2735

2735 = 5 x 547

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

LCM = 7469285 = 5 x 547 x 2731

Step 4: Therefore, the least common multiple of 2731 and 2735 is 7469285.