Least Common Multiple of 6707 and 6712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6707 and 6712 the smallest integer that is 45017384 that is divisible by both numbers.

Least Common Multiple (LCM) of 6707 and 6712 is 45017384.

LCM(6707,6712) = 45017384

LCM of 6707 and 6712

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

LCM of:
and

Least Common Multiple of 6707 and 6712

LCM of 6707 and 6712 is 45017384

Least common multiple can be found by multiplying the highest exponent prime factors of 6707 and 6712. First we will calculate the prime factors of 6707 and 6712.

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

Prime Factorization of 6712


2 6712
2 3356
2 1678
839 839
1

Prime factors of 6712 are 2,839. Prime factorization of 6712 in exponential form is:

6712 = 23×8391

Now multiplying the highest exponent prime factors to calculate the LCM of 6707 and 6712.

LCM(6707,6712) = 23×191×3531×8391
LCM(6707,6712) = 45017384

Factors of 6707

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

1, 19, 353, 6707

Factors of 6712

List of positive integer factors of 6712 that divides 6712 without a remainder.

1, 2, 4, 8, 839, 1678, 3356, 6712

Least Common Multiple of 6707 and 6712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6707 and 6712, than apply into the LCM equation.

GCF(6707,6712) = 1
LCM(6707,6712) = ( 6707 × 6712) / 1
LCM(6707,6712) = 45017384 / 1
LCM(6707,6712) = 45017384

Properties of LCM 6707 and 6712

(i) The LCM of 6712 and 6707 is associative

LCM of 6707 and 6712 = LCM of 6712 and 6707

Related Least Common Multiples of 6707

Related Least Common Multiples of 6712

Frequently Asked Questions on LCM of 6707 and 6712

1. What is the LCM of 6707 and 6712?

Answer: LCM of 6707 and 6712 is 45017384.

2. 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.

3. What are the Factors of 6712?

Answer: Factors of 6712 are 1, 2, 4, 8, 839, 1678, 3356, 6712. There are 8 integers that are factors of 6712. The greatest factor of 6712 is 6712.

4. How to Find the LCM of 6707 and 6712?

Answer:

Least Common Multiple of 6707 and 6712 = 45017384

Step 1: Find the prime factorization of 6707

6707 = 19 x 353

Step 2: Find the prime factorization of 6712

6712 = 2 x 2 x 2 x 839

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

LCM = 45017384 = 2 x 2 x 2 x 19 x 353 x 839

Step 4: Therefore, the least common multiple of 6707 and 6712 is 45017384.