Least Common Multiple of 6752 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 6752 and 6759 the smallest integer that is 45636768 that is divisible by both numbers.

Least Common Multiple (LCM) of 6752 and 6759 is 45636768.

LCM(6752,6759) = 45636768

LCM of 6752 and 6759

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

LCM of:
and

Least Common Multiple of 6752 and 6759

LCM of 6752 and 6759 is 45636768

Least common multiple can be found by multiplying the highest exponent prime factors of 6752 and 6759. First we will calculate the prime factors of 6752 and 6759.

Prime Factorization of 6752


2 6752
2 3376
2 1688
2 844
2 422
211 211
1

Prime factors of 6752 are 2,211. Prime factorization of 6752 in exponential form is:

6752 = 25×2111

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 6752 and 6759.

LCM(6752,6759) = 25×32×2111×7511
LCM(6752,6759) = 45636768

Factors of 6752

List of positive integer factors of 6752 that divides 6752 without a remainder.

1, 2, 4, 8, 16, 32, 211, 422, 844, 1688, 3376, 6752

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 6752 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 6752 and 6759, than apply into the LCM equation.

GCF(6752,6759) = 1
LCM(6752,6759) = ( 6752 × 6759) / 1
LCM(6752,6759) = 45636768 / 1
LCM(6752,6759) = 45636768

Properties of LCM 6752 and 6759

(i) The LCM of 6759 and 6752 is associative

LCM of 6752 and 6759 = LCM of 6759 and 6752

Related Least Common Multiples of 6752

Related Least Common Multiples of 6759

Frequently Asked Questions on LCM of 6752 and 6759

1. What is the LCM of 6752 and 6759?

Answer: LCM of 6752 and 6759 is 45636768.

2. What are the Factors of 6752?

Answer: Factors of 6752 are 1, 2, 4, 8, 16, 32, 211, 422, 844, 1688, 3376, 6752. There are 12 integers that are factors of 6752. The greatest factor of 6752 is 6752.

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 6752 and 6759?

Answer:

Least Common Multiple of 6752 and 6759 = 45636768

Step 1: Find the prime factorization of 6752

6752 = 2 x 2 x 2 x 2 x 2 x 211

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 = 45636768 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 211 x 751

Step 4: Therefore, the least common multiple of 6752 and 6759 is 45636768.