Least Common Multiple of 6703 and 6710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6703 and 6710 the smallest integer that is 44977130 that is divisible by both numbers.

Least Common Multiple (LCM) of 6703 and 6710 is 44977130.

LCM(6703,6710) = 44977130

LCM of 6703 and 6710

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

LCM of:
and

Least Common Multiple of 6703 and 6710

LCM of 6703 and 6710 is 44977130

Least common multiple can be found by multiplying the highest exponent prime factors of 6703 and 6710. First we will calculate the prime factors of 6703 and 6710.

Prime Factorization of 6703


6703 6703
1

Prime factors of 6703 are 6703. Prime factorization of 6703 in exponential form is:

6703 = 67031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6703 and 6710.

LCM(6703,6710) = 21×51×111×611×67031
LCM(6703,6710) = 44977130

Factors of 6703

List of positive integer factors of 6703 that divides 6703 without a remainder.

1, 6703

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

Least Common Multiple of 6703 and 6710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6703 and 6710, than apply into the LCM equation.

GCF(6703,6710) = 1
LCM(6703,6710) = ( 6703 × 6710) / 1
LCM(6703,6710) = 44977130 / 1
LCM(6703,6710) = 44977130

Properties of LCM 6703 and 6710

(i) The LCM of 6710 and 6703 is associative

LCM of 6703 and 6710 = LCM of 6710 and 6703

Related Least Common Multiples of 6703

Related Least Common Multiples of 6710

Frequently Asked Questions on LCM of 6703 and 6710

1. What is the LCM of 6703 and 6710?

Answer: LCM of 6703 and 6710 is 44977130.

2. What are the Factors of 6703?

Answer: Factors of 6703 are 1, 6703. There are 2 integers that are factors of 6703. The greatest factor of 6703 is 6703.

3. 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.

4. How to Find the LCM of 6703 and 6710?

Answer:

Least Common Multiple of 6703 and 6710 = 44977130

Step 1: Find the prime factorization of 6703

6703 = 6703

Step 2: Find the prime factorization of 6710

6710 = 2 x 5 x 11 x 61

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

LCM = 44977130 = 2 x 5 x 11 x 61 x 6703

Step 4: Therefore, the least common multiple of 6703 and 6710 is 44977130.