Least Common Multiple of 6741 and 6748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6741 and 6748 the smallest integer that is 6498324 that is divisible by both numbers.

Least Common Multiple (LCM) of 6741 and 6748 is 6498324.

LCM(6741,6748) = 6498324

LCM of 6741 and 6748

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

LCM of:
and

Least Common Multiple of 6741 and 6748

LCM of 6741 and 6748 is 6498324

Least common multiple can be found by multiplying the highest exponent prime factors of 6741 and 6748. First we will calculate the prime factors of 6741 and 6748.

Prime Factorization of 6741


3 6741
3 2247
7 749
107 107
1

Prime factors of 6741 are 3, 7,107. Prime factorization of 6741 in exponential form is:

6741 = 32×71×1071

Prime Factorization of 6748


2 6748
2 3374
7 1687
241 241
1

Prime factors of 6748 are 2, 7,241. Prime factorization of 6748 in exponential form is:

6748 = 22×71×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 6741 and 6748.

LCM(6741,6748) = 22×32×71×1071×2411
LCM(6741,6748) = 6498324

Factors of 6741

List of positive integer factors of 6741 that divides 6741 without a remainder.

1, 3, 7, 9, 21, 63, 107, 321, 749, 963, 2247, 6741

Factors of 6748

List of positive integer factors of 6748 that divides 6748 without a remainder.

1, 2, 4, 7, 14, 28, 241, 482, 964, 1687, 3374, 6748

Least Common Multiple of 6741 and 6748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6741 and 6748, than apply into the LCM equation.

GCF(6741,6748) = 7
LCM(6741,6748) = ( 6741 × 6748) / 7
LCM(6741,6748) = 45488268 / 7
LCM(6741,6748) = 6498324

Properties of LCM 6741 and 6748

(i) The LCM of 6748 and 6741 is associative

LCM of 6741 and 6748 = LCM of 6748 and 6741

Related Least Common Multiples of 6741

Related Least Common Multiples of 6748

Frequently Asked Questions on LCM of 6741 and 6748

1. What is the LCM of 6741 and 6748?

Answer: LCM of 6741 and 6748 is 6498324.

2. What are the Factors of 6741?

Answer: Factors of 6741 are 1, 3, 7, 9, 21, 63, 107, 321, 749, 963, 2247, 6741. There are 12 integers that are factors of 6741. The greatest factor of 6741 is 6741.

3. What are the Factors of 6748?

Answer: Factors of 6748 are 1, 2, 4, 7, 14, 28, 241, 482, 964, 1687, 3374, 6748. There are 12 integers that are factors of 6748. The greatest factor of 6748 is 6748.

4. How to Find the LCM of 6741 and 6748?

Answer:

Least Common Multiple of 6741 and 6748 = 6498324

Step 1: Find the prime factorization of 6741

6741 = 3 x 3 x 7 x 107

Step 2: Find the prime factorization of 6748

6748 = 2 x 2 x 7 x 241

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

LCM = 6498324 = 2 x 2 x 3 x 3 x 7 x 107 x 241

Step 4: Therefore, the least common multiple of 6741 and 6748 is 6498324.