Least Common Multiple of 6745 and 6753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6745 and 6753 the smallest integer that is 45548985 that is divisible by both numbers.

Least Common Multiple (LCM) of 6745 and 6753 is 45548985.

LCM(6745,6753) = 45548985

LCM of 6745 and 6753

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

LCM of:
and

Least Common Multiple of 6745 and 6753

LCM of 6745 and 6753 is 45548985

Least common multiple can be found by multiplying the highest exponent prime factors of 6745 and 6753. First we will calculate the prime factors of 6745 and 6753.

Prime Factorization of 6745


5 6745
19 1349
71 71
1

Prime factors of 6745 are 5, 19,71. Prime factorization of 6745 in exponential form is:

6745 = 51×191×711

Prime Factorization of 6753


3 6753
2251 2251
1

Prime factors of 6753 are 3,2251. Prime factorization of 6753 in exponential form is:

6753 = 31×22511

Now multiplying the highest exponent prime factors to calculate the LCM of 6745 and 6753.

LCM(6745,6753) = 31×51×191×711×22511
LCM(6745,6753) = 45548985

Factors of 6745

List of positive integer factors of 6745 that divides 6745 without a remainder.

1, 5, 19, 71, 95, 355, 1349, 6745

Factors of 6753

List of positive integer factors of 6753 that divides 6753 without a remainder.

1, 3, 2251, 6753

Least Common Multiple of 6745 and 6753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6745 and 6753, than apply into the LCM equation.

GCF(6745,6753) = 1
LCM(6745,6753) = ( 6745 × 6753) / 1
LCM(6745,6753) = 45548985 / 1
LCM(6745,6753) = 45548985

Properties of LCM 6745 and 6753

(i) The LCM of 6753 and 6745 is associative

LCM of 6745 and 6753 = LCM of 6753 and 6745

Related Least Common Multiples of 6745

Related Least Common Multiples of 6753

Frequently Asked Questions on LCM of 6745 and 6753

1. What is the LCM of 6745 and 6753?

Answer: LCM of 6745 and 6753 is 45548985.

2. What are the Factors of 6745?

Answer: Factors of 6745 are 1, 5, 19, 71, 95, 355, 1349, 6745. There are 8 integers that are factors of 6745. The greatest factor of 6745 is 6745.

3. What are the Factors of 6753?

Answer: Factors of 6753 are 1, 3, 2251, 6753. There are 4 integers that are factors of 6753. The greatest factor of 6753 is 6753.

4. How to Find the LCM of 6745 and 6753?

Answer:

Least Common Multiple of 6745 and 6753 = 45548985

Step 1: Find the prime factorization of 6745

6745 = 5 x 19 x 71

Step 2: Find the prime factorization of 6753

6753 = 3 x 2251

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

LCM = 45548985 = 3 x 5 x 19 x 71 x 2251

Step 4: Therefore, the least common multiple of 6745 and 6753 is 45548985.