Least Common Multiple of 6727 and 6734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6727 and 6734 the smallest integer that is 6471374 that is divisible by both numbers.

Least Common Multiple (LCM) of 6727 and 6734 is 6471374.

LCM(6727,6734) = 6471374

LCM of 6727 and 6734

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

LCM of:
and

Least Common Multiple of 6727 and 6734

LCM of 6727 and 6734 is 6471374

Least common multiple can be found by multiplying the highest exponent prime factors of 6727 and 6734. First we will calculate the prime factors of 6727 and 6734.

Prime Factorization of 6727


7 6727
31 961
31 31
1

Prime factors of 6727 are 7,31. Prime factorization of 6727 in exponential form is:

6727 = 71×312

Prime Factorization of 6734


2 6734
7 3367
13 481
37 37
1

Prime factors of 6734 are 2, 7, 13,37. Prime factorization of 6734 in exponential form is:

6734 = 21×71×131×371

Now multiplying the highest exponent prime factors to calculate the LCM of 6727 and 6734.

LCM(6727,6734) = 21×71×131×312×371
LCM(6727,6734) = 6471374

Factors of 6727

List of positive integer factors of 6727 that divides 6727 without a remainder.

1, 7, 31, 217, 961, 6727

Factors of 6734

List of positive integer factors of 6734 that divides 6734 without a remainder.

1, 2, 7, 13, 14, 26, 37, 74, 91, 182, 259, 481, 518, 962, 3367, 6734

Least Common Multiple of 6727 and 6734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6727 and 6734, than apply into the LCM equation.

GCF(6727,6734) = 7
LCM(6727,6734) = ( 6727 × 6734) / 7
LCM(6727,6734) = 45299618 / 7
LCM(6727,6734) = 6471374

Properties of LCM 6727 and 6734

(i) The LCM of 6734 and 6727 is associative

LCM of 6727 and 6734 = LCM of 6734 and 6727

Related Least Common Multiples of 6727

Related Least Common Multiples of 6734

Frequently Asked Questions on LCM of 6727 and 6734

1. What is the LCM of 6727 and 6734?

Answer: LCM of 6727 and 6734 is 6471374.

2. What are the Factors of 6727?

Answer: Factors of 6727 are 1, 7, 31, 217, 961, 6727. There are 6 integers that are factors of 6727. The greatest factor of 6727 is 6727.

3. What are the Factors of 6734?

Answer: Factors of 6734 are 1, 2, 7, 13, 14, 26, 37, 74, 91, 182, 259, 481, 518, 962, 3367, 6734. There are 16 integers that are factors of 6734. The greatest factor of 6734 is 6734.

4. How to Find the LCM of 6727 and 6734?

Answer:

Least Common Multiple of 6727 and 6734 = 6471374

Step 1: Find the prime factorization of 6727

6727 = 7 x 31 x 31

Step 2: Find the prime factorization of 6734

6734 = 2 x 7 x 13 x 37

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

LCM = 6471374 = 2 x 7 x 13 x 31 x 31 x 37

Step 4: Therefore, the least common multiple of 6727 and 6734 is 6471374.