Least Common Multiple of 2723 and 2730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2723 and 2730 the smallest integer that is 1061970 that is divisible by both numbers.

Least Common Multiple (LCM) of 2723 and 2730 is 1061970.

LCM(2723,2730) = 1061970

LCM of 2723 and 2730

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

LCM of:
and

Least Common Multiple of 2723 and 2730

LCM of 2723 and 2730 is 1061970

Least common multiple can be found by multiplying the highest exponent prime factors of 2723 and 2730. First we will calculate the prime factors of 2723 and 2730.

Prime Factorization of 2723


7 2723
389 389
1

Prime factors of 2723 are 7,389. Prime factorization of 2723 in exponential form is:

2723 = 71×3891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2723 and 2730.

LCM(2723,2730) = 21×31×51×71×131×3891
LCM(2723,2730) = 1061970

Factors of 2723

List of positive integer factors of 2723 that divides 2723 without a remainder.

1, 7, 389, 2723

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

Least Common Multiple of 2723 and 2730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2723 and 2730, than apply into the LCM equation.

GCF(2723,2730) = 7
LCM(2723,2730) = ( 2723 × 2730) / 7
LCM(2723,2730) = 7433790 / 7
LCM(2723,2730) = 1061970

Properties of LCM 2723 and 2730

(i) The LCM of 2730 and 2723 is associative

LCM of 2723 and 2730 = LCM of 2730 and 2723

Related Least Common Multiples of 2723

Related Least Common Multiples of 2730

Frequently Asked Questions on LCM of 2723 and 2730

1. What is the LCM of 2723 and 2730?

Answer: LCM of 2723 and 2730 is 1061970.

2. What are the Factors of 2723?

Answer: Factors of 2723 are 1, 7, 389, 2723. There are 4 integers that are factors of 2723. The greatest factor of 2723 is 2723.

3. 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.

4. How to Find the LCM of 2723 and 2730?

Answer:

Least Common Multiple of 2723 and 2730 = 1061970

Step 1: Find the prime factorization of 2723

2723 = 7 x 389

Step 2: Find the prime factorization of 2730

2730 = 2 x 3 x 5 x 7 x 13

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

LCM = 1061970 = 2 x 3 x 5 x 7 x 13 x 389

Step 4: Therefore, the least common multiple of 2723 and 2730 is 1061970.