Least Common Multiple of 6742 and 6746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6742 and 6746 the smallest integer that is 22740766 that is divisible by both numbers.

Least Common Multiple (LCM) of 6742 and 6746 is 22740766.

LCM(6742,6746) = 22740766

LCM of 6742 and 6746

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

LCM of:
and

Least Common Multiple of 6742 and 6746

LCM of 6742 and 6746 is 22740766

Least common multiple can be found by multiplying the highest exponent prime factors of 6742 and 6746. First we will calculate the prime factors of 6742 and 6746.

Prime Factorization of 6742


2 6742
3371 3371
1

Prime factors of 6742 are 2,3371. Prime factorization of 6742 in exponential form is:

6742 = 21×33711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6742 and 6746.

LCM(6742,6746) = 21×33711×33731
LCM(6742,6746) = 22740766

Factors of 6742

List of positive integer factors of 6742 that divides 6742 without a remainder.

1, 2, 3371, 6742

Factors of 6746

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

1, 2, 3373, 6746

Least Common Multiple of 6742 and 6746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6742 and 6746, than apply into the LCM equation.

GCF(6742,6746) = 2
LCM(6742,6746) = ( 6742 × 6746) / 2
LCM(6742,6746) = 45481532 / 2
LCM(6742,6746) = 22740766

Properties of LCM 6742 and 6746

(i) The LCM of 6746 and 6742 is associative

LCM of 6742 and 6746 = LCM of 6746 and 6742

Related Least Common Multiples of 6742

Related Least Common Multiples of 6746

Frequently Asked Questions on LCM of 6742 and 6746

1. What is the LCM of 6742 and 6746?

Answer: LCM of 6742 and 6746 is 22740766.

2. What are the Factors of 6742?

Answer: Factors of 6742 are 1, 2, 3371, 6742. There are 4 integers that are factors of 6742. The greatest factor of 6742 is 6742.

3. 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.

4. How to Find the LCM of 6742 and 6746?

Answer:

Least Common Multiple of 6742 and 6746 = 22740766

Step 1: Find the prime factorization of 6742

6742 = 2 x 3371

Step 2: Find the prime factorization of 6746

6746 = 2 x 3373

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

LCM = 22740766 = 2 x 3371 x 3373

Step 4: Therefore, the least common multiple of 6742 and 6746 is 22740766.