Least Common Multiple of 751 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 751 and 759 the smallest integer that is 570009 that is divisible by both numbers.

Least Common Multiple (LCM) of 751 and 759 is 570009.

LCM(751,759) = 570009

LCM of 751 and 759

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

LCM of:
and

Least Common Multiple of 751 and 759

LCM of 751 and 759 is 570009

Least common multiple can be found by multiplying the highest exponent prime factors of 751 and 759. First we will calculate the prime factors of 751 and 759.

Prime Factorization of 751


751 751
1

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

751 = 7511

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 751 and 759.

LCM(751,759) = 31×111×231×7511
LCM(751,759) = 570009

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1, 751

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 751 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 751 and 759, than apply into the LCM equation.

GCF(751,759) = 1
LCM(751,759) = ( 751 × 759) / 1
LCM(751,759) = 570009 / 1
LCM(751,759) = 570009

Properties of LCM 751 and 759

(i) The LCM of 759 and 751 is associative

LCM of 751 and 759 = LCM of 759 and 751

Related Least Common Multiples of 751

Related Least Common Multiples of 759

Frequently Asked Questions on LCM of 751 and 759

1. What is the LCM of 751 and 759?

Answer: LCM of 751 and 759 is 570009.

2. What are the Factors of 751?

Answer: Factors of 751 are 1, 751. There are 2 integers that are factors of 751. The greatest factor of 751 is 751.

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 751 and 759?

Answer:

Least Common Multiple of 751 and 759 = 570009

Step 1: Find the prime factorization of 751

751 = 751

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 = 570009 = 3 x 11 x 23 x 751

Step 4: Therefore, the least common multiple of 751 and 759 is 570009.