Least Common Multiple of 6748 and 6754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6748 and 6754 the smallest integer that is 22787996 that is divisible by both numbers.

Least Common Multiple (LCM) of 6748 and 6754 is 22787996.

LCM(6748,6754) = 22787996

LCM of 6748 and 6754

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

LCM of:
and

Least Common Multiple of 6748 and 6754

LCM of 6748 and 6754 is 22787996

Least common multiple can be found by multiplying the highest exponent prime factors of 6748 and 6754. First we will calculate the prime factors of 6748 and 6754.

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

Prime Factorization of 6754


2 6754
11 3377
307 307
1

Prime factors of 6754 are 2, 11,307. Prime factorization of 6754 in exponential form is:

6754 = 21×111×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 6748 and 6754.

LCM(6748,6754) = 22×71×111×2411×3071
LCM(6748,6754) = 22787996

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

Factors of 6754

List of positive integer factors of 6754 that divides 6754 without a remainder.

1, 2, 11, 22, 307, 614, 3377, 6754

Least Common Multiple of 6748 and 6754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6748 and 6754, than apply into the LCM equation.

GCF(6748,6754) = 2
LCM(6748,6754) = ( 6748 × 6754) / 2
LCM(6748,6754) = 45575992 / 2
LCM(6748,6754) = 22787996

Properties of LCM 6748 and 6754

(i) The LCM of 6754 and 6748 is associative

LCM of 6748 and 6754 = LCM of 6754 and 6748

Related Least Common Multiples of 6748

Related Least Common Multiples of 6754

Frequently Asked Questions on LCM of 6748 and 6754

1. What is the LCM of 6748 and 6754?

Answer: LCM of 6748 and 6754 is 22787996.

2. 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.

3. What are the Factors of 6754?

Answer: Factors of 6754 are 1, 2, 11, 22, 307, 614, 3377, 6754. There are 8 integers that are factors of 6754. The greatest factor of 6754 is 6754.

4. How to Find the LCM of 6748 and 6754?

Answer:

Least Common Multiple of 6748 and 6754 = 22787996

Step 1: Find the prime factorization of 6748

6748 = 2 x 2 x 7 x 241

Step 2: Find the prime factorization of 6754

6754 = 2 x 11 x 307

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

LCM = 22787996 = 2 x 2 x 7 x 11 x 241 x 307

Step 4: Therefore, the least common multiple of 6748 and 6754 is 22787996.