Least Common Multiple of 765 and 772

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 772 the smallest integer that is 590580 that is divisible by both numbers.

Least Common Multiple (LCM) of 765 and 772 is 590580.

LCM(765,772) = 590580

LCM of 765 and 772

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

LCM of:
and

Least Common Multiple of 765 and 772

LCM of 765 and 772 is 590580

Least common multiple can be found by multiplying the highest exponent prime factors of 765 and 772. First we will calculate the prime factors of 765 and 772.

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 772


2 772
2 386
193 193
1

Prime factors of 772 are 2,193. Prime factorization of 772 in exponential form is:

772 = 22×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 765 and 772.

LCM(765,772) = 22×32×51×171×1931
LCM(765,772) = 590580

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 772

List of positive integer factors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Least Common Multiple of 765 and 772 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 772, than apply into the LCM equation.

GCF(765,772) = 1
LCM(765,772) = ( 765 × 772) / 1
LCM(765,772) = 590580 / 1
LCM(765,772) = 590580

Properties of LCM 765 and 772

(i) The LCM of 772 and 765 is associative

LCM of 765 and 772 = LCM of 772 and 765

Related Least Common Multiples of 765

Related Least Common Multiples of 772

Frequently Asked Questions on LCM of 765 and 772

1. What is the LCM of 765 and 772?

Answer: LCM of 765 and 772 is 590580.

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 772?

Answer: Factors of 772 are 1, 2, 4, 193, 386, 772. There are 6 integers that are factors of 772. The greatest factor of 772 is 772.

4. How to Find the LCM of 765 and 772?

Answer:

Least Common Multiple of 765 and 772 = 590580

Step 1: Find the prime factorization of 765

765 = 3 x 3 x 5 x 17

Step 2: Find the prime factorization of 772

772 = 2 x 2 x 193

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

LCM = 590580 = 2 x 2 x 3 x 3 x 5 x 17 x 193

Step 4: Therefore, the least common multiple of 765 and 772 is 590580.