Least Common Multiple of 6742 and 6750

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 6750 the smallest integer that is 22754250 that is divisible by both numbers.

Least Common Multiple (LCM) of 6742 and 6750 is 22754250.

LCM(6742,6750) = 22754250

LCM of 6742 and 6750

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

LCM of:
and

Least Common Multiple of 6742 and 6750

LCM of 6742 and 6750 is 22754250

Least common multiple can be found by multiplying the highest exponent prime factors of 6742 and 6750. First we will calculate the prime factors of 6742 and 6750.

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 6750


2 6750
3 3375
3 1125
3 375
5 125
5 25
5 5
1

Prime factors of 6750 are 2, 3,5. Prime factorization of 6750 in exponential form is:

6750 = 21×33×53

Now multiplying the highest exponent prime factors to calculate the LCM of 6742 and 6750.

LCM(6742,6750) = 21×33×53×33711
LCM(6742,6750) = 22754250

Factors of 6742

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

1, 2, 3371, 6742

Factors of 6750

List of positive integer factors of 6750 that divides 6750 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 125, 135, 150, 225, 250, 270, 375, 450, 675, 750, 1125, 1350, 2250, 3375, 6750

Least Common Multiple of 6742 and 6750 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 6750, than apply into the LCM equation.

GCF(6742,6750) = 2
LCM(6742,6750) = ( 6742 × 6750) / 2
LCM(6742,6750) = 45508500 / 2
LCM(6742,6750) = 22754250

Properties of LCM 6742 and 6750

(i) The LCM of 6750 and 6742 is associative

LCM of 6742 and 6750 = LCM of 6750 and 6742

Related Least Common Multiples of 6742

Related Least Common Multiples of 6750

Frequently Asked Questions on LCM of 6742 and 6750

1. What is the LCM of 6742 and 6750?

Answer: LCM of 6742 and 6750 is 22754250.

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 6750?

Answer: Factors of 6750 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 125, 135, 150, 225, 250, 270, 375, 450, 675, 750, 1125, 1350, 2250, 3375, 6750. There are 32 integers that are factors of 6750. The greatest factor of 6750 is 6750.

4. How to Find the LCM of 6742 and 6750?

Answer:

Least Common Multiple of 6742 and 6750 = 22754250

Step 1: Find the prime factorization of 6742

6742 = 2 x 3371

Step 2: Find the prime factorization of 6750

6750 = 2 x 3 x 3 x 3 x 5 x 5 x 5

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

LCM = 22754250 = 2 x 3 x 3 x 3 x 5 x 5 x 5 x 3371

Step 4: Therefore, the least common multiple of 6742 and 6750 is 22754250.