Least Common Multiple of 764 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 764 and 767 the smallest integer that is 585988 that is divisible by both numbers.

Least Common Multiple (LCM) of 764 and 767 is 585988.

LCM(764,767) = 585988

LCM of 764 and 767

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

LCM of:
and

Least Common Multiple of 764 and 767

LCM of 764 and 767 is 585988

Least common multiple can be found by multiplying the highest exponent prime factors of 764 and 767. First we will calculate the prime factors of 764 and 767.

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 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 764 and 767.

LCM(764,767) = 22×131×591×1911
LCM(764,767) = 585988

Factors of 764

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

1, 2, 4, 191, 382, 764

Factors of 767

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

1, 13, 59, 767

Least Common Multiple of 764 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 764 and 767, than apply into the LCM equation.

GCF(764,767) = 1
LCM(764,767) = ( 764 × 767) / 1
LCM(764,767) = 585988 / 1
LCM(764,767) = 585988

Properties of LCM 764 and 767

(i) The LCM of 767 and 764 is associative

LCM of 764 and 767 = LCM of 767 and 764

Related Least Common Multiples of 764

Related Least Common Multiples of 767

Frequently Asked Questions on LCM of 764 and 767

1. What is the LCM of 764 and 767?

Answer: LCM of 764 and 767 is 585988.

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 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 764 and 767?

Answer:

Least Common Multiple of 764 and 767 = 585988

Step 1: Find the prime factorization of 764

764 = 2 x 2 x 191

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 = 585988 = 2 x 2 x 13 x 59 x 191

Step 4: Therefore, the least common multiple of 764 and 767 is 585988.