Least Common Multiple of 767 and 768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 767 and 768 the smallest integer that is 589056 that is divisible by both numbers.

Least Common Multiple (LCM) of 767 and 768 is 589056.

LCM(767,768) = 589056

LCM of 767 and 768

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

LCM of:
and

Least Common Multiple of 767 and 768

LCM of 767 and 768 is 589056

Least common multiple can be found by multiplying the highest exponent prime factors of 767 and 768. First we will calculate the prime factors of 767 and 768.

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

Prime Factorization of 768


2 768
2 384
2 192
2 96
2 48
2 24
2 12
2 6
3 3
1

Prime factors of 768 are 2,3. Prime factorization of 768 in exponential form is:

768 = 28×31

Now multiplying the highest exponent prime factors to calculate the LCM of 767 and 768.

LCM(767,768) = 28×31×131×591
LCM(767,768) = 589056

Factors of 767

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

1, 13, 59, 767

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Least Common Multiple of 767 and 768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 767 and 768, than apply into the LCM equation.

GCF(767,768) = 1
LCM(767,768) = ( 767 × 768) / 1
LCM(767,768) = 589056 / 1
LCM(767,768) = 589056

Properties of LCM 767 and 768

(i) The LCM of 768 and 767 is associative

LCM of 767 and 768 = LCM of 768 and 767

Related Least Common Multiples of 767

Related Least Common Multiples of 768

Frequently Asked Questions on LCM of 767 and 768

1. What is the LCM of 767 and 768?

Answer: LCM of 767 and 768 is 589056.

2. 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.

3. What are the Factors of 768?

Answer: Factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768. There are 18 integers that are factors of 768. The greatest factor of 768 is 768.

4. How to Find the LCM of 767 and 768?

Answer:

Least Common Multiple of 767 and 768 = 589056

Step 1: Find the prime factorization of 767

767 = 13 x 59

Step 2: Find the prime factorization of 768

768 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

LCM = 589056 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 59

Step 4: Therefore, the least common multiple of 767 and 768 is 589056.