Least Common Multiple of 754 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 754 and 759 the smallest integer that is 572286 that is divisible by both numbers.

Least Common Multiple (LCM) of 754 and 759 is 572286.

LCM(754,759) = 572286

LCM of 754 and 759

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

LCM of:
and

Least Common Multiple of 754 and 759

LCM of 754 and 759 is 572286

Least common multiple can be found by multiplying the highest exponent prime factors of 754 and 759. First we will calculate the prime factors of 754 and 759.

Prime Factorization of 754


2 754
13 377
29 29
1

Prime factors of 754 are 2, 13,29. Prime factorization of 754 in exponential form is:

754 = 21×131×291

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 754 and 759.

LCM(754,759) = 21×31×111×131×231×291
LCM(754,759) = 572286

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

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 754 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 754 and 759, than apply into the LCM equation.

GCF(754,759) = 1
LCM(754,759) = ( 754 × 759) / 1
LCM(754,759) = 572286 / 1
LCM(754,759) = 572286

Properties of LCM 754 and 759

(i) The LCM of 759 and 754 is associative

LCM of 754 and 759 = LCM of 759 and 754

Related Least Common Multiples of 754

Related Least Common Multiples of 759

Frequently Asked Questions on LCM of 754 and 759

1. What is the LCM of 754 and 759?

Answer: LCM of 754 and 759 is 572286.

2. What are the Factors of 754?

Answer: Factors of 754 are 1, 2, 13, 26, 29, 58, 377, 754. There are 8 integers that are factors of 754. The greatest factor of 754 is 754.

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 754 and 759?

Answer:

Least Common Multiple of 754 and 759 = 572286

Step 1: Find the prime factorization of 754

754 = 2 x 13 x 29

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 = 572286 = 2 x 3 x 11 x 13 x 23 x 29

Step 4: Therefore, the least common multiple of 754 and 759 is 572286.