Least Common Multiple of 765 and 770

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 770 the smallest integer that is 117810 that is divisible by both numbers.

Least Common Multiple (LCM) of 765 and 770 is 117810.

LCM(765,770) = 117810

LCM of 765 and 770

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

LCM of:
and

Least Common Multiple of 765 and 770

LCM of 765 and 770 is 117810

Least common multiple can be found by multiplying the highest exponent prime factors of 765 and 770. First we will calculate the prime factors of 765 and 770.

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 770


2 770
5 385
7 77
11 11
1

Prime factors of 770 are 2, 5, 7,11. Prime factorization of 770 in exponential form is:

770 = 21×51×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 765 and 770.

LCM(765,770) = 21×32×51×71×111×171
LCM(765,770) = 117810

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 770

List of positive integer factors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Least Common Multiple of 765 and 770 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 770, than apply into the LCM equation.

GCF(765,770) = 5
LCM(765,770) = ( 765 × 770) / 5
LCM(765,770) = 589050 / 5
LCM(765,770) = 117810

Properties of LCM 765 and 770

(i) The LCM of 770 and 765 is associative

LCM of 765 and 770 = LCM of 770 and 765

Related Least Common Multiples of 765

Related Least Common Multiples of 770

Frequently Asked Questions on LCM of 765 and 770

1. What is the LCM of 765 and 770?

Answer: LCM of 765 and 770 is 117810.

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 770?

Answer: Factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770. There are 16 integers that are factors of 770. The greatest factor of 770 is 770.

4. How to Find the LCM of 765 and 770?

Answer:

Least Common Multiple of 765 and 770 = 117810

Step 1: Find the prime factorization of 765

765 = 3 x 3 x 5 x 17

Step 2: Find the prime factorization of 770

770 = 2 x 5 x 7 x 11

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

LCM = 117810 = 2 x 3 x 3 x 5 x 7 x 11 x 17

Step 4: Therefore, the least common multiple of 765 and 770 is 117810.