Least Common Multiple of 759 and 764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 759 and 764 the smallest integer that is 579876 that is divisible by both numbers.

Least Common Multiple (LCM) of 759 and 764 is 579876.

LCM(759,764) = 579876

LCM of 759 and 764

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

LCM of:
and

Least Common Multiple of 759 and 764

LCM of 759 and 764 is 579876

Least common multiple can be found by multiplying the highest exponent prime factors of 759 and 764. First we will calculate the prime factors of 759 and 764.

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

Prime Factorization of 764


2 764
2 382
191 191
1

Prime factors of 764 are 2,191. Prime factorization of 764 in exponential form is:

764 = 22×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 759 and 764.

LCM(759,764) = 22×31×111×231×1911
LCM(759,764) = 579876

Factors of 759

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

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

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Least Common Multiple of 759 and 764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 759 and 764, than apply into the LCM equation.

GCF(759,764) = 1
LCM(759,764) = ( 759 × 764) / 1
LCM(759,764) = 579876 / 1
LCM(759,764) = 579876

Properties of LCM 759 and 764

(i) The LCM of 764 and 759 is associative

LCM of 759 and 764 = LCM of 764 and 759

Related Least Common Multiples of 759

Related Least Common Multiples of 764

Frequently Asked Questions on LCM of 759 and 764

1. What is the LCM of 759 and 764?

Answer: LCM of 759 and 764 is 579876.

2. 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.

3. What are the Factors of 764?

Answer: Factors of 764 are 1, 2, 4, 191, 382, 764. There are 6 integers that are factors of 764. The greatest factor of 764 is 764.

4. How to Find the LCM of 759 and 764?

Answer:

Least Common Multiple of 759 and 764 = 579876

Step 1: Find the prime factorization of 759

759 = 3 x 11 x 23

Step 2: Find the prime factorization of 764

764 = 2 x 2 x 191

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

LCM = 579876 = 2 x 2 x 3 x 11 x 23 x 191

Step 4: Therefore, the least common multiple of 759 and 764 is 579876.