Least Common Multiple of 753 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 753 and 759 the smallest integer that is 190509 that is divisible by both numbers.

Least Common Multiple (LCM) of 753 and 759 is 190509.

LCM(753,759) = 190509

LCM of 753 and 759

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

LCM of:
and

Least Common Multiple of 753 and 759

LCM of 753 and 759 is 190509

Least common multiple can be found by multiplying the highest exponent prime factors of 753 and 759. First we will calculate the prime factors of 753 and 759.

Prime Factorization of 753


3 753
251 251
1

Prime factors of 753 are 3,251. Prime factorization of 753 in exponential form is:

753 = 31×2511

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 753 and 759.

LCM(753,759) = 31×111×231×2511
LCM(753,759) = 190509

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1, 3, 251, 753

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 753 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 753 and 759, than apply into the LCM equation.

GCF(753,759) = 3
LCM(753,759) = ( 753 × 759) / 3
LCM(753,759) = 571527 / 3
LCM(753,759) = 190509

Properties of LCM 753 and 759

(i) The LCM of 759 and 753 is associative

LCM of 753 and 759 = LCM of 759 and 753

Related Least Common Multiples of 753

Related Least Common Multiples of 759

Frequently Asked Questions on LCM of 753 and 759

1. What is the LCM of 753 and 759?

Answer: LCM of 753 and 759 is 190509.

2. What are the Factors of 753?

Answer: Factors of 753 are 1, 3, 251, 753. There are 4 integers that are factors of 753. The greatest factor of 753 is 753.

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 753 and 759?

Answer:

Least Common Multiple of 753 and 759 = 190509

Step 1: Find the prime factorization of 753

753 = 3 x 251

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 = 190509 = 3 x 11 x 23 x 251

Step 4: Therefore, the least common multiple of 753 and 759 is 190509.