Least Common Multiple of 765 and 773

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 773 the smallest integer that is 591345 that is divisible by both numbers.

Least Common Multiple (LCM) of 765 and 773 is 591345.

LCM(765,773) = 591345

LCM of 765 and 773

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

LCM of:
and

Least Common Multiple of 765 and 773

LCM of 765 and 773 is 591345

Least common multiple can be found by multiplying the highest exponent prime factors of 765 and 773. First we will calculate the prime factors of 765 and 773.

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 773


773 773
1

Prime factors of 773 are 773. Prime factorization of 773 in exponential form is:

773 = 7731

Now multiplying the highest exponent prime factors to calculate the LCM of 765 and 773.

LCM(765,773) = 32×51×171×7731
LCM(765,773) = 591345

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 773

List of positive integer factors of 773 that divides 773 without a remainder.

1, 773

Least Common Multiple of 765 and 773 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 773, than apply into the LCM equation.

GCF(765,773) = 1
LCM(765,773) = ( 765 × 773) / 1
LCM(765,773) = 591345 / 1
LCM(765,773) = 591345

Properties of LCM 765 and 773

(i) The LCM of 773 and 765 is associative

LCM of 765 and 773 = LCM of 773 and 765

Related Least Common Multiples of 765

Related Least Common Multiples of 773

Frequently Asked Questions on LCM of 765 and 773

1. What is the LCM of 765 and 773?

Answer: LCM of 765 and 773 is 591345.

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 773?

Answer: Factors of 773 are 1, 773. There are 2 integers that are factors of 773. The greatest factor of 773 is 773.

4. How to Find the LCM of 765 and 773?

Answer:

Least Common Multiple of 765 and 773 = 591345

Step 1: Find the prime factorization of 765

765 = 3 x 3 x 5 x 17

Step 2: Find the prime factorization of 773

773 = 773

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

LCM = 591345 = 3 x 3 x 5 x 17 x 773

Step 4: Therefore, the least common multiple of 765 and 773 is 591345.