Least Common Multiple of 759 and 766

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 766 the smallest integer that is 581394 that is divisible by both numbers.

Least Common Multiple (LCM) of 759 and 766 is 581394.

LCM(759,766) = 581394

LCM of 759 and 766

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

LCM of:
and

Least Common Multiple of 759 and 766

LCM of 759 and 766 is 581394

Least common multiple can be found by multiplying the highest exponent prime factors of 759 and 766. First we will calculate the prime factors of 759 and 766.

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 766


2 766
383 383
1

Prime factors of 766 are 2,383. Prime factorization of 766 in exponential form is:

766 = 21×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 759 and 766.

LCM(759,766) = 21×31×111×231×3831
LCM(759,766) = 581394

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 766

List of positive integer factors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Least Common Multiple of 759 and 766 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 766, than apply into the LCM equation.

GCF(759,766) = 1
LCM(759,766) = ( 759 × 766) / 1
LCM(759,766) = 581394 / 1
LCM(759,766) = 581394

Properties of LCM 759 and 766

(i) The LCM of 766 and 759 is associative

LCM of 759 and 766 = LCM of 766 and 759

Related Least Common Multiples of 759

Related Least Common Multiples of 766

Frequently Asked Questions on LCM of 759 and 766

1. What is the LCM of 759 and 766?

Answer: LCM of 759 and 766 is 581394.

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 766?

Answer: Factors of 766 are 1, 2, 383, 766. There are 4 integers that are factors of 766. The greatest factor of 766 is 766.

4. How to Find the LCM of 759 and 766?

Answer:

Least Common Multiple of 759 and 766 = 581394

Step 1: Find the prime factorization of 759

759 = 3 x 11 x 23

Step 2: Find the prime factorization of 766

766 = 2 x 383

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

LCM = 581394 = 2 x 3 x 11 x 23 x 383

Step 4: Therefore, the least common multiple of 759 and 766 is 581394.