Least Common Multiple of 756 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 756 and 759 the smallest integer that is 191268 that is divisible by both numbers.

Least Common Multiple (LCM) of 756 and 759 is 191268.

LCM(756,759) = 191268

LCM of 756 and 759

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

LCM of:
and

Least Common Multiple of 756 and 759

LCM of 756 and 759 is 191268

Least common multiple can be found by multiplying the highest exponent prime factors of 756 and 759. First we will calculate the prime factors of 756 and 759.

Prime Factorization of 756


2 756
2 378
3 189
3 63
3 21
7 7
1

Prime factors of 756 are 2, 3,7. Prime factorization of 756 in exponential form is:

756 = 22×33×71

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 756 and 759.

LCM(756,759) = 22×33×71×111×231
LCM(756,759) = 191268

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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 756 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 756 and 759, than apply into the LCM equation.

GCF(756,759) = 3
LCM(756,759) = ( 756 × 759) / 3
LCM(756,759) = 573804 / 3
LCM(756,759) = 191268

Properties of LCM 756 and 759

(i) The LCM of 759 and 756 is associative

LCM of 756 and 759 = LCM of 759 and 756

Related Least Common Multiples of 756

Related Least Common Multiples of 759

Frequently Asked Questions on LCM of 756 and 759

1. What is the LCM of 756 and 759?

Answer: LCM of 756 and 759 is 191268.

2. What are the Factors of 756?

Answer: Factors of 756 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756. There are 24 integers that are factors of 756. The greatest factor of 756 is 756.

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 756 and 759?

Answer:

Least Common Multiple of 756 and 759 = 191268

Step 1: Find the prime factorization of 756

756 = 2 x 2 x 3 x 3 x 3 x 7

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 = 191268 = 2 x 2 x 3 x 3 x 3 x 7 x 11 x 23

Step 4: Therefore, the least common multiple of 756 and 759 is 191268.