Least Common Multiple of 6710 and 6716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6710 and 6716 the smallest integer that is 22532180 that is divisible by both numbers.

Least Common Multiple (LCM) of 6710 and 6716 is 22532180.

LCM(6710,6716) = 22532180

LCM of 6710 and 6716

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

LCM of:
and

Least Common Multiple of 6710 and 6716

LCM of 6710 and 6716 is 22532180

Least common multiple can be found by multiplying the highest exponent prime factors of 6710 and 6716. First we will calculate the prime factors of 6710 and 6716.

Prime Factorization of 6710


2 6710
5 3355
11 671
61 61
1

Prime factors of 6710 are 2, 5, 11,61. Prime factorization of 6710 in exponential form is:

6710 = 21×51×111×611

Prime Factorization of 6716


2 6716
2 3358
23 1679
73 73
1

Prime factors of 6716 are 2, 23,73. Prime factorization of 6716 in exponential form is:

6716 = 22×231×731

Now multiplying the highest exponent prime factors to calculate the LCM of 6710 and 6716.

LCM(6710,6716) = 22×51×111×231×611×731
LCM(6710,6716) = 22532180

Factors of 6710

List of positive integer factors of 6710 that divides 6710 without a remainder.

1, 2, 5, 10, 11, 22, 55, 61, 110, 122, 305, 610, 671, 1342, 3355, 6710

Factors of 6716

List of positive integer factors of 6716 that divides 6716 without a remainder.

1, 2, 4, 23, 46, 73, 92, 146, 292, 1679, 3358, 6716

Least Common Multiple of 6710 and 6716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6710 and 6716, than apply into the LCM equation.

GCF(6710,6716) = 2
LCM(6710,6716) = ( 6710 × 6716) / 2
LCM(6710,6716) = 45064360 / 2
LCM(6710,6716) = 22532180

Properties of LCM 6710 and 6716

(i) The LCM of 6716 and 6710 is associative

LCM of 6710 and 6716 = LCM of 6716 and 6710

Related Least Common Multiples of 6710

Related Least Common Multiples of 6716

Frequently Asked Questions on LCM of 6710 and 6716

1. What is the LCM of 6710 and 6716?

Answer: LCM of 6710 and 6716 is 22532180.

2. What are the Factors of 6710?

Answer: Factors of 6710 are 1, 2, 5, 10, 11, 22, 55, 61, 110, 122, 305, 610, 671, 1342, 3355, 6710. There are 16 integers that are factors of 6710. The greatest factor of 6710 is 6710.

3. What are the Factors of 6716?

Answer: Factors of 6716 are 1, 2, 4, 23, 46, 73, 92, 146, 292, 1679, 3358, 6716. There are 12 integers that are factors of 6716. The greatest factor of 6716 is 6716.

4. How to Find the LCM of 6710 and 6716?

Answer:

Least Common Multiple of 6710 and 6716 = 22532180

Step 1: Find the prime factorization of 6710

6710 = 2 x 5 x 11 x 61

Step 2: Find the prime factorization of 6716

6716 = 2 x 2 x 23 x 73

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

LCM = 22532180 = 2 x 2 x 5 x 11 x 23 x 61 x 73

Step 4: Therefore, the least common multiple of 6710 and 6716 is 22532180.