Least Common Multiple of 764 and 765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 764 and 765 the smallest integer that is 584460 that is divisible by both numbers.

Least Common Multiple (LCM) of 764 and 765 is 584460.

LCM(764,765) = 584460

LCM of 764 and 765

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

LCM of:
and

Least Common Multiple of 764 and 765

LCM of 764 and 765 is 584460

Least common multiple can be found by multiplying the highest exponent prime factors of 764 and 765. First we will calculate the prime factors of 764 and 765.

Prime Factorization of 764


2 764
2 382
191 191
1

Prime factors of 764 are 2,191. Prime factorization of 764 in exponential form is:

764 = 22×1911

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

Now multiplying the highest exponent prime factors to calculate the LCM of 764 and 765.

LCM(764,765) = 22×32×51×171×1911
LCM(764,765) = 584460

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

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

Least Common Multiple of 764 and 765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 764 and 765, than apply into the LCM equation.

GCF(764,765) = 1
LCM(764,765) = ( 764 × 765) / 1
LCM(764,765) = 584460 / 1
LCM(764,765) = 584460

Properties of LCM 764 and 765

(i) The LCM of 765 and 764 is associative

LCM of 764 and 765 = LCM of 765 and 764

Related Least Common Multiples of 764

Related Least Common Multiples of 765

Frequently Asked Questions on LCM of 764 and 765

1. What is the LCM of 764 and 765?

Answer: LCM of 764 and 765 is 584460.

2. What are the Factors of 764?

Answer: Factors of 764 are 1, 2, 4, 191, 382, 764. There are 6 integers that are factors of 764. The greatest factor of 764 is 764.

3. 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.

4. How to Find the LCM of 764 and 765?

Answer:

Least Common Multiple of 764 and 765 = 584460

Step 1: Find the prime factorization of 764

764 = 2 x 2 x 191

Step 2: Find the prime factorization of 765

765 = 3 x 3 x 5 x 17

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

LCM = 584460 = 2 x 2 x 3 x 3 x 5 x 17 x 191

Step 4: Therefore, the least common multiple of 764 and 765 is 584460.