Least Common Multiple of 6743 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 6743 and 6750 the smallest integer that is 45515250 that is divisible by both numbers.

Least Common Multiple (LCM) of 6743 and 6750 is 45515250.

LCM(6743,6750) = 45515250

LCM of 6743 and 6750

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

LCM of:
and

Least Common Multiple of 6743 and 6750

LCM of 6743 and 6750 is 45515250

Least common multiple can be found by multiplying the highest exponent prime factors of 6743 and 6750. First we will calculate the prime factors of 6743 and 6750.

Prime Factorization of 6743


11 6743
613 613
1

Prime factors of 6743 are 11,613. Prime factorization of 6743 in exponential form is:

6743 = 111×6131

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 6743 and 6750.

LCM(6743,6750) = 21×33×53×111×6131
LCM(6743,6750) = 45515250

Factors of 6743

List of positive integer factors of 6743 that divides 6743 without a remainder.

1, 11, 613, 6743

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 6743 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 6743 and 6750, than apply into the LCM equation.

GCF(6743,6750) = 1
LCM(6743,6750) = ( 6743 × 6750) / 1
LCM(6743,6750) = 45515250 / 1
LCM(6743,6750) = 45515250

Properties of LCM 6743 and 6750

(i) The LCM of 6750 and 6743 is associative

LCM of 6743 and 6750 = LCM of 6750 and 6743

Related Least Common Multiples of 6743

Related Least Common Multiples of 6750

Frequently Asked Questions on LCM of 6743 and 6750

1. What is the LCM of 6743 and 6750?

Answer: LCM of 6743 and 6750 is 45515250.

2. What are the Factors of 6743?

Answer: Factors of 6743 are 1, 11, 613, 6743. There are 4 integers that are factors of 6743. The greatest factor of 6743 is 6743.

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 6743 and 6750?

Answer:

Least Common Multiple of 6743 and 6750 = 45515250

Step 1: Find the prime factorization of 6743

6743 = 11 x 613

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 = 45515250 = 2 x 3 x 3 x 3 x 5 x 5 x 5 x 11 x 613

Step 4: Therefore, the least common multiple of 6743 and 6750 is 45515250.