Least Common Multiple of 765 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 765 and 766 the smallest integer that is 585990 that is divisible by both numbers.

Least Common Multiple (LCM) of 765 and 766 is 585990.

LCM(765,766) = 585990

LCM of 765 and 766

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

LCM of:
and

Least Common Multiple of 765 and 766

LCM of 765 and 766 is 585990

Least common multiple can be found by multiplying the highest exponent prime factors of 765 and 766. First we will calculate the prime factors of 765 and 766.

Prime Factorization of 765


3 765
3 255
5 85
17 17
1

Prime factors of 765 are 3, 5,17. Prime factorization of 765 in exponential form is:

765 = 32×51×171

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 765 and 766.

LCM(765,766) = 21×32×51×171×3831
LCM(765,766) = 585990

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Factors of 766

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

1, 2, 383, 766

Least Common Multiple of 765 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 765 and 766, than apply into the LCM equation.

GCF(765,766) = 1
LCM(765,766) = ( 765 × 766) / 1
LCM(765,766) = 585990 / 1
LCM(765,766) = 585990

Properties of LCM 765 and 766

(i) The LCM of 766 and 765 is associative

LCM of 765 and 766 = LCM of 766 and 765

Related Least Common Multiples of 765

Related Least Common Multiples of 766

Frequently Asked Questions on LCM of 765 and 766

1. What is the LCM of 765 and 766?

Answer: LCM of 765 and 766 is 585990.

2. What are the Factors of 765?

Answer: Factors of 765 are 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765. There are 12 integers that are factors of 765. The greatest factor of 765 is 765.

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 765 and 766?

Answer:

Least Common Multiple of 765 and 766 = 585990

Step 1: Find the prime factorization of 765

765 = 3 x 3 x 5 x 17

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 = 585990 = 2 x 3 x 3 x 5 x 17 x 383

Step 4: Therefore, the least common multiple of 765 and 766 is 585990.