Least Common Multiple of 765 and 767

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 767 the smallest integer that is 586755 that is divisible by both numbers.

Least Common Multiple (LCM) of 765 and 767 is 586755.

LCM(765,767) = 586755

LCM of 765 and 767

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

LCM of:
and

Least Common Multiple of 765 and 767

LCM of 765 and 767 is 586755

Least common multiple can be found by multiplying the highest exponent prime factors of 765 and 767. First we will calculate the prime factors of 765 and 767.

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 767


13 767
59 59
1

Prime factors of 767 are 13,59. Prime factorization of 767 in exponential form is:

767 = 131×591

Now multiplying the highest exponent prime factors to calculate the LCM of 765 and 767.

LCM(765,767) = 32×51×131×171×591
LCM(765,767) = 586755

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 767

List of positive integer factors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Least Common Multiple of 765 and 767 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 767, than apply into the LCM equation.

GCF(765,767) = 1
LCM(765,767) = ( 765 × 767) / 1
LCM(765,767) = 586755 / 1
LCM(765,767) = 586755

Properties of LCM 765 and 767

(i) The LCM of 767 and 765 is associative

LCM of 765 and 767 = LCM of 767 and 765

Related Least Common Multiples of 765

Related Least Common Multiples of 767

Frequently Asked Questions on LCM of 765 and 767

1. What is the LCM of 765 and 767?

Answer: LCM of 765 and 767 is 586755.

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 767?

Answer: Factors of 767 are 1, 13, 59, 767. There are 4 integers that are factors of 767. The greatest factor of 767 is 767.

4. How to Find the LCM of 765 and 767?

Answer:

Least Common Multiple of 765 and 767 = 586755

Step 1: Find the prime factorization of 765

765 = 3 x 3 x 5 x 17

Step 2: Find the prime factorization of 767

767 = 13 x 59

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

LCM = 586755 = 3 x 3 x 5 x 13 x 17 x 59

Step 4: Therefore, the least common multiple of 765 and 767 is 586755.