Least Common Multiple of 6751 and 6759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6751 and 6759 the smallest integer that is 45630009 that is divisible by both numbers.

Least Common Multiple (LCM) of 6751 and 6759 is 45630009.

LCM(6751,6759) = 45630009

LCM of 6751 and 6759

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

LCM of:
and

Least Common Multiple of 6751 and 6759

LCM of 6751 and 6759 is 45630009

Least common multiple can be found by multiplying the highest exponent prime factors of 6751 and 6759. First we will calculate the prime factors of 6751 and 6759.

Prime Factorization of 6751


43 6751
157 157
1

Prime factors of 6751 are 43,157. Prime factorization of 6751 in exponential form is:

6751 = 431×1571

Prime Factorization of 6759


3 6759
3 2253
751 751
1

Prime factors of 6759 are 3,751. Prime factorization of 6759 in exponential form is:

6759 = 32×7511

Now multiplying the highest exponent prime factors to calculate the LCM of 6751 and 6759.

LCM(6751,6759) = 32×431×1571×7511
LCM(6751,6759) = 45630009

Factors of 6751

List of positive integer factors of 6751 that divides 6751 without a remainder.

1, 43, 157, 6751

Factors of 6759

List of positive integer factors of 6759 that divides 6759 without a remainder.

1, 3, 9, 751, 2253, 6759

Least Common Multiple of 6751 and 6759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6751 and 6759, than apply into the LCM equation.

GCF(6751,6759) = 1
LCM(6751,6759) = ( 6751 × 6759) / 1
LCM(6751,6759) = 45630009 / 1
LCM(6751,6759) = 45630009

Properties of LCM 6751 and 6759

(i) The LCM of 6759 and 6751 is associative

LCM of 6751 and 6759 = LCM of 6759 and 6751

Related Least Common Multiples of 6751

Related Least Common Multiples of 6759

Frequently Asked Questions on LCM of 6751 and 6759

1. What is the LCM of 6751 and 6759?

Answer: LCM of 6751 and 6759 is 45630009.

2. What are the Factors of 6751?

Answer: Factors of 6751 are 1, 43, 157, 6751. There are 4 integers that are factors of 6751. The greatest factor of 6751 is 6751.

3. What are the Factors of 6759?

Answer: Factors of 6759 are 1, 3, 9, 751, 2253, 6759. There are 6 integers that are factors of 6759. The greatest factor of 6759 is 6759.

4. How to Find the LCM of 6751 and 6759?

Answer:

Least Common Multiple of 6751 and 6759 = 45630009

Step 1: Find the prime factorization of 6751

6751 = 43 x 157

Step 2: Find the prime factorization of 6759

6759 = 3 x 3 x 751

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

LCM = 45630009 = 3 x 3 x 43 x 157 x 751

Step 4: Therefore, the least common multiple of 6751 and 6759 is 45630009.