Least Common Multiple of 6720 and 6723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6720 and 6723 the smallest integer that is 15059520 that is divisible by both numbers.

Least Common Multiple (LCM) of 6720 and 6723 is 15059520.

LCM(6720,6723) = 15059520

LCM of 6720 and 6723

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

LCM of:
and

Least Common Multiple of 6720 and 6723

LCM of 6720 and 6723 is 15059520

Least common multiple can be found by multiplying the highest exponent prime factors of 6720 and 6723. First we will calculate the prime factors of 6720 and 6723.

Prime Factorization of 6720


2 6720
2 3360
2 1680
2 840
2 420
2 210
3 105
5 35
7 7
1

Prime factors of 6720 are 2, 3, 5,7. Prime factorization of 6720 in exponential form is:

6720 = 26×31×51×71

Prime Factorization of 6723


3 6723
3 2241
3 747
3 249
83 83
1

Prime factors of 6723 are 3,83. Prime factorization of 6723 in exponential form is:

6723 = 34×831

Now multiplying the highest exponent prime factors to calculate the LCM of 6720 and 6723.

LCM(6720,6723) = 26×34×51×71×831
LCM(6720,6723) = 15059520

Factors of 6720

List of positive integer factors of 6720 that divides 6720 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 64, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 192, 210, 224, 240, 280, 320, 336, 420, 448, 480, 560, 672, 840, 960, 1120, 1344, 1680, 2240, 3360, 6720

Factors of 6723

List of positive integer factors of 6723 that divides 6723 without a remainder.

1, 3, 9, 27, 81, 83, 249, 747, 2241, 6723

Least Common Multiple of 6720 and 6723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6720 and 6723, than apply into the LCM equation.

GCF(6720,6723) = 3
LCM(6720,6723) = ( 6720 × 6723) / 3
LCM(6720,6723) = 45178560 / 3
LCM(6720,6723) = 15059520

Properties of LCM 6720 and 6723

(i) The LCM of 6723 and 6720 is associative

LCM of 6720 and 6723 = LCM of 6723 and 6720

Related Least Common Multiples of 6720

Related Least Common Multiples of 6723

Frequently Asked Questions on LCM of 6720 and 6723

1. What is the LCM of 6720 and 6723?

Answer: LCM of 6720 and 6723 is 15059520.

2. What are the Factors of 6720?

Answer: Factors of 6720 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 64, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 192, 210, 224, 240, 280, 320, 336, 420, 448, 480, 560, 672, 840, 960, 1120, 1344, 1680, 2240, 3360, 6720. There are 56 integers that are factors of 6720. The greatest factor of 6720 is 6720.

3. What are the Factors of 6723?

Answer: Factors of 6723 are 1, 3, 9, 27, 81, 83, 249, 747, 2241, 6723. There are 10 integers that are factors of 6723. The greatest factor of 6723 is 6723.

4. How to Find the LCM of 6720 and 6723?

Answer:

Least Common Multiple of 6720 and 6723 = 15059520

Step 1: Find the prime factorization of 6720

6720 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7

Step 2: Find the prime factorization of 6723

6723 = 3 x 3 x 3 x 3 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 = 15059520 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 7 x 83

Step 4: Therefore, the least common multiple of 6720 and 6723 is 15059520.