Least Common Multiple of 6715 and 6720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6715 and 6720 the smallest integer that is 9024960 that is divisible by both numbers.

Least Common Multiple (LCM) of 6715 and 6720 is 9024960.

LCM(6715,6720) = 9024960

LCM of 6715 and 6720

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

LCM of:
and

Least Common Multiple of 6715 and 6720

LCM of 6715 and 6720 is 9024960

Least common multiple can be found by multiplying the highest exponent prime factors of 6715 and 6720. First we will calculate the prime factors of 6715 and 6720.

Prime Factorization of 6715


5 6715
17 1343
79 79
1

Prime factors of 6715 are 5, 17,79. Prime factorization of 6715 in exponential form is:

6715 = 51×171×791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6715 and 6720.

LCM(6715,6720) = 26×31×51×71×171×791
LCM(6715,6720) = 9024960

Factors of 6715

List of positive integer factors of 6715 that divides 6715 without a remainder.

1, 5, 17, 79, 85, 395, 1343, 6715

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

Least Common Multiple of 6715 and 6720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6715 and 6720, than apply into the LCM equation.

GCF(6715,6720) = 5
LCM(6715,6720) = ( 6715 × 6720) / 5
LCM(6715,6720) = 45124800 / 5
LCM(6715,6720) = 9024960

Properties of LCM 6715 and 6720

(i) The LCM of 6720 and 6715 is associative

LCM of 6715 and 6720 = LCM of 6720 and 6715

Related Least Common Multiples of 6715

Related Least Common Multiples of 6720

Frequently Asked Questions on LCM of 6715 and 6720

1. What is the LCM of 6715 and 6720?

Answer: LCM of 6715 and 6720 is 9024960.

2. What are the Factors of 6715?

Answer: Factors of 6715 are 1, 5, 17, 79, 85, 395, 1343, 6715. There are 8 integers that are factors of 6715. The greatest factor of 6715 is 6715.

3. 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.

4. How to Find the LCM of 6715 and 6720?

Answer:

Least Common Multiple of 6715 and 6720 = 9024960

Step 1: Find the prime factorization of 6715

6715 = 5 x 17 x 79

Step 2: 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 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 9024960 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 17 x 79

Step 4: Therefore, the least common multiple of 6715 and 6720 is 9024960.