Least Common Multiple of 6720 and 6726

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 6726 the smallest integer that is 7533120 that is divisible by both numbers.

Least Common Multiple (LCM) of 6720 and 6726 is 7533120.

LCM(6720,6726) = 7533120

LCM of 6720 and 6726

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

LCM of:
and

Least Common Multiple of 6720 and 6726

LCM of 6720 and 6726 is 7533120

Least common multiple can be found by multiplying the highest exponent prime factors of 6720 and 6726. First we will calculate the prime factors of 6720 and 6726.

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 6726


2 6726
3 3363
19 1121
59 59
1

Prime factors of 6726 are 2, 3, 19,59. Prime factorization of 6726 in exponential form is:

6726 = 21×31×191×591

Now multiplying the highest exponent prime factors to calculate the LCM of 6720 and 6726.

LCM(6720,6726) = 26×31×51×71×191×591
LCM(6720,6726) = 7533120

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 6726

List of positive integer factors of 6726 that divides 6726 without a remainder.

1, 2, 3, 6, 19, 38, 57, 59, 114, 118, 177, 354, 1121, 2242, 3363, 6726

Least Common Multiple of 6720 and 6726 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 6726, than apply into the LCM equation.

GCF(6720,6726) = 6
LCM(6720,6726) = ( 6720 × 6726) / 6
LCM(6720,6726) = 45198720 / 6
LCM(6720,6726) = 7533120

Properties of LCM 6720 and 6726

(i) The LCM of 6726 and 6720 is associative

LCM of 6720 and 6726 = LCM of 6726 and 6720

Related Least Common Multiples of 6720

Related Least Common Multiples of 6726

Frequently Asked Questions on LCM of 6720 and 6726

1. What is the LCM of 6720 and 6726?

Answer: LCM of 6720 and 6726 is 7533120.

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 6726?

Answer: Factors of 6726 are 1, 2, 3, 6, 19, 38, 57, 59, 114, 118, 177, 354, 1121, 2242, 3363, 6726. There are 16 integers that are factors of 6726. The greatest factor of 6726 is 6726.

4. How to Find the LCM of 6720 and 6726?

Answer:

Least Common Multiple of 6720 and 6726 = 7533120

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 6726

6726 = 2 x 3 x 19 x 59

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

LCM = 7533120 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 19 x 59

Step 4: Therefore, the least common multiple of 6720 and 6726 is 7533120.