Least Common Multiple of 6703 and 6707

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 6707 the smallest integer that is 44957021 that is divisible by both numbers.

Least Common Multiple (LCM) of 6703 and 6707 is 44957021.

LCM(6703,6707) = 44957021

LCM of 6703 and 6707

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

LCM of:
and

Least Common Multiple of 6703 and 6707

LCM of 6703 and 6707 is 44957021

Least common multiple can be found by multiplying the highest exponent prime factors of 6703 and 6707. First we will calculate the prime factors of 6703 and 6707.

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 6707


19 6707
353 353
1

Prime factors of 6707 are 19,353. Prime factorization of 6707 in exponential form is:

6707 = 191×3531

Now multiplying the highest exponent prime factors to calculate the LCM of 6703 and 6707.

LCM(6703,6707) = 191×3531×67031
LCM(6703,6707) = 44957021

Factors of 6703

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

1, 6703

Factors of 6707

List of positive integer factors of 6707 that divides 6707 without a remainder.

1, 19, 353, 6707

Least Common Multiple of 6703 and 6707 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 6707, than apply into the LCM equation.

GCF(6703,6707) = 1
LCM(6703,6707) = ( 6703 × 6707) / 1
LCM(6703,6707) = 44957021 / 1
LCM(6703,6707) = 44957021

Properties of LCM 6703 and 6707

(i) The LCM of 6707 and 6703 is associative

LCM of 6703 and 6707 = LCM of 6707 and 6703

Related Least Common Multiples of 6703

Related Least Common Multiples of 6707

Frequently Asked Questions on LCM of 6703 and 6707

1. What is the LCM of 6703 and 6707?

Answer: LCM of 6703 and 6707 is 44957021.

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 6707?

Answer: Factors of 6707 are 1, 19, 353, 6707. There are 4 integers that are factors of 6707. The greatest factor of 6707 is 6707.

4. How to Find the LCM of 6703 and 6707?

Answer:

Least Common Multiple of 6703 and 6707 = 44957021

Step 1: Find the prime factorization of 6703

6703 = 6703

Step 2: Find the prime factorization of 6707

6707 = 19 x 353

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

LCM = 44957021 = 19 x 353 x 6703

Step 4: Therefore, the least common multiple of 6703 and 6707 is 44957021.