Least Common Multiple of 752 and 759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 752 and 759 the smallest integer that is 570768 that is divisible by both numbers.

Least Common Multiple (LCM) of 752 and 759 is 570768.

LCM(752,759) = 570768

LCM of 752 and 759

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

LCM of:
and

Least Common Multiple of 752 and 759

LCM of 752 and 759 is 570768

Least common multiple can be found by multiplying the highest exponent prime factors of 752 and 759. First we will calculate the prime factors of 752 and 759.

Prime Factorization of 752


2 752
2 376
2 188
2 94
47 47
1

Prime factors of 752 are 2,47. Prime factorization of 752 in exponential form is:

752 = 24×471

Prime Factorization of 759


3 759
11 253
23 23
1

Prime factors of 759 are 3, 11,23. Prime factorization of 759 in exponential form is:

759 = 31×111×231

Now multiplying the highest exponent prime factors to calculate the LCM of 752 and 759.

LCM(752,759) = 24×31×111×231×471
LCM(752,759) = 570768

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Least Common Multiple of 752 and 759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 752 and 759, than apply into the LCM equation.

GCF(752,759) = 1
LCM(752,759) = ( 752 × 759) / 1
LCM(752,759) = 570768 / 1
LCM(752,759) = 570768

Properties of LCM 752 and 759

(i) The LCM of 759 and 752 is associative

LCM of 752 and 759 = LCM of 759 and 752

Related Least Common Multiples of 752

Related Least Common Multiples of 759

Frequently Asked Questions on LCM of 752 and 759

1. What is the LCM of 752 and 759?

Answer: LCM of 752 and 759 is 570768.

2. What are the Factors of 752?

Answer: Factors of 752 are 1, 2, 4, 8, 16, 47, 94, 188, 376, 752. There are 10 integers that are factors of 752. The greatest factor of 752 is 752.

3. What are the Factors of 759?

Answer: Factors of 759 are 1, 3, 11, 23, 33, 69, 253, 759. There are 8 integers that are factors of 759. The greatest factor of 759 is 759.

4. How to Find the LCM of 752 and 759?

Answer:

Least Common Multiple of 752 and 759 = 570768

Step 1: Find the prime factorization of 752

752 = 2 x 2 x 2 x 2 x 47

Step 2: Find the prime factorization of 759

759 = 3 x 11 x 23

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

LCM = 570768 = 2 x 2 x 2 x 2 x 3 x 11 x 23 x 47

Step 4: Therefore, the least common multiple of 752 and 759 is 570768.