Least Common Multiple of 2730 and 2731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2730 and 2731 the smallest integer that is 7455630 that is divisible by both numbers.

Least Common Multiple (LCM) of 2730 and 2731 is 7455630.

LCM(2730,2731) = 7455630

LCM of 2730 and 2731

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

LCM of:
and

Least Common Multiple of 2730 and 2731

LCM of 2730 and 2731 is 7455630

Least common multiple can be found by multiplying the highest exponent prime factors of 2730 and 2731. First we will calculate the prime factors of 2730 and 2731.

Prime Factorization of 2730


2 2730
3 1365
5 455
7 91
13 13
1

Prime factors of 2730 are 2, 3, 5, 7,13. Prime factorization of 2730 in exponential form is:

2730 = 21×31×51×71×131

Prime Factorization of 2731


2731 2731
1

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

2731 = 27311

Now multiplying the highest exponent prime factors to calculate the LCM of 2730 and 2731.

LCM(2730,2731) = 21×31×51×71×131×27311
LCM(2730,2731) = 7455630

Factors of 2730

List of positive integer factors of 2730 that divides 2730 without a remainder.

1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 26, 30, 35, 39, 42, 65, 70, 78, 91, 105, 130, 182, 195, 210, 273, 390, 455, 546, 910, 1365, 2730

Factors of 2731

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

1, 2731

Least Common Multiple of 2730 and 2731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2730 and 2731, than apply into the LCM equation.

GCF(2730,2731) = 1
LCM(2730,2731) = ( 2730 × 2731) / 1
LCM(2730,2731) = 7455630 / 1
LCM(2730,2731) = 7455630

Properties of LCM 2730 and 2731

(i) The LCM of 2731 and 2730 is associative

LCM of 2730 and 2731 = LCM of 2731 and 2730

Related Least Common Multiples of 2730

Related Least Common Multiples of 2731

Frequently Asked Questions on LCM of 2730 and 2731

1. What is the LCM of 2730 and 2731?

Answer: LCM of 2730 and 2731 is 7455630.

2. What are the Factors of 2730?

Answer: Factors of 2730 are 1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 26, 30, 35, 39, 42, 65, 70, 78, 91, 105, 130, 182, 195, 210, 273, 390, 455, 546, 910, 1365, 2730. There are 32 integers that are factors of 2730. The greatest factor of 2730 is 2730.

3. 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.

4. How to Find the LCM of 2730 and 2731?

Answer:

Least Common Multiple of 2730 and 2731 = 7455630

Step 1: Find the prime factorization of 2730

2730 = 2 x 3 x 5 x 7 x 13

Step 2: Find the prime factorization of 2731

2731 = 2731

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

LCM = 7455630 = 2 x 3 x 5 x 7 x 13 x 2731

Step 4: Therefore, the least common multiple of 2730 and 2731 is 7455630.