Least Common Multiple of 6748 and 6755

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 6755 the smallest integer that is 6511820 that is divisible by both numbers.

Least Common Multiple (LCM) of 6748 and 6755 is 6511820.

LCM(6748,6755) = 6511820

LCM of 6748 and 6755

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

LCM of:
and

Least Common Multiple of 6748 and 6755

LCM of 6748 and 6755 is 6511820

Least common multiple can be found by multiplying the highest exponent prime factors of 6748 and 6755. First we will calculate the prime factors of 6748 and 6755.

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 6755


5 6755
7 1351
193 193
1

Prime factors of 6755 are 5, 7,193. Prime factorization of 6755 in exponential form is:

6755 = 51×71×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 6748 and 6755.

LCM(6748,6755) = 22×51×71×1931×2411
LCM(6748,6755) = 6511820

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 6755

List of positive integer factors of 6755 that divides 6755 without a remainder.

1, 5, 7, 35, 193, 965, 1351, 6755

Least Common Multiple of 6748 and 6755 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 6755, than apply into the LCM equation.

GCF(6748,6755) = 7
LCM(6748,6755) = ( 6748 × 6755) / 7
LCM(6748,6755) = 45582740 / 7
LCM(6748,6755) = 6511820

Properties of LCM 6748 and 6755

(i) The LCM of 6755 and 6748 is associative

LCM of 6748 and 6755 = LCM of 6755 and 6748

Related Least Common Multiples of 6748

Related Least Common Multiples of 6755

Frequently Asked Questions on LCM of 6748 and 6755

1. What is the LCM of 6748 and 6755?

Answer: LCM of 6748 and 6755 is 6511820.

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 6755?

Answer: Factors of 6755 are 1, 5, 7, 35, 193, 965, 1351, 6755. There are 8 integers that are factors of 6755. The greatest factor of 6755 is 6755.

4. How to Find the LCM of 6748 and 6755?

Answer:

Least Common Multiple of 6748 and 6755 = 6511820

Step 1: Find the prime factorization of 6748

6748 = 2 x 2 x 7 x 241

Step 2: Find the prime factorization of 6755

6755 = 5 x 7 x 193

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

LCM = 6511820 = 2 x 2 x 5 x 7 x 193 x 241

Step 4: Therefore, the least common multiple of 6748 and 6755 is 6511820.