Least Common Multiple of 6746 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 6746 and 6753 the smallest integer that is 45555738 that is divisible by both numbers.

Least Common Multiple (LCM) of 6746 and 6753 is 45555738.

LCM(6746,6753) = 45555738

LCM of 6746 and 6753

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

LCM of:
and

Least Common Multiple of 6746 and 6753

LCM of 6746 and 6753 is 45555738

Least common multiple can be found by multiplying the highest exponent prime factors of 6746 and 6753. First we will calculate the prime factors of 6746 and 6753.

Prime Factorization of 6746


2 6746
3373 3373
1

Prime factors of 6746 are 2,3373. Prime factorization of 6746 in exponential form is:

6746 = 21×33731

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 6746 and 6753.

LCM(6746,6753) = 21×31×22511×33731
LCM(6746,6753) = 45555738

Factors of 6746

List of positive integer factors of 6746 that divides 6746 without a remainder.

1, 2, 3373, 6746

Factors of 6753

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

1, 3, 2251, 6753

Least Common Multiple of 6746 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 6746 and 6753, than apply into the LCM equation.

GCF(6746,6753) = 1
LCM(6746,6753) = ( 6746 × 6753) / 1
LCM(6746,6753) = 45555738 / 1
LCM(6746,6753) = 45555738

Properties of LCM 6746 and 6753

(i) The LCM of 6753 and 6746 is associative

LCM of 6746 and 6753 = LCM of 6753 and 6746

Related Least Common Multiples of 6746

Related Least Common Multiples of 6753

Frequently Asked Questions on LCM of 6746 and 6753

1. What is the LCM of 6746 and 6753?

Answer: LCM of 6746 and 6753 is 45555738.

2. What are the Factors of 6746?

Answer: Factors of 6746 are 1, 2, 3373, 6746. There are 4 integers that are factors of 6746. The greatest factor of 6746 is 6746.

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 6746 and 6753?

Answer:

Least Common Multiple of 6746 and 6753 = 45555738

Step 1: Find the prime factorization of 6746

6746 = 2 x 3373

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 = 45555738 = 2 x 3 x 2251 x 3373

Step 4: Therefore, the least common multiple of 6746 and 6753 is 45555738.