Least Common Multiple of 768 and 773

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 768 and 773 the smallest integer that is 593664 that is divisible by both numbers.

Least Common Multiple (LCM) of 768 and 773 is 593664.

LCM(768,773) = 593664

LCM of 768 and 773

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

LCM of:
and

Least Common Multiple of 768 and 773

LCM of 768 and 773 is 593664

Least common multiple can be found by multiplying the highest exponent prime factors of 768 and 773. First we will calculate the prime factors of 768 and 773.

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

Prime Factorization of 773


773 773
1

Prime factors of 773 are 773. Prime factorization of 773 in exponential form is:

773 = 7731

Now multiplying the highest exponent prime factors to calculate the LCM of 768 and 773.

LCM(768,773) = 28×31×7731
LCM(768,773) = 593664

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

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1, 773

Least Common Multiple of 768 and 773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 768 and 773, than apply into the LCM equation.

GCF(768,773) = 1
LCM(768,773) = ( 768 × 773) / 1
LCM(768,773) = 593664 / 1
LCM(768,773) = 593664

Properties of LCM 768 and 773

(i) The LCM of 773 and 768 is associative

LCM of 768 and 773 = LCM of 773 and 768

Related Least Common Multiples of 768

Related Least Common Multiples of 773

Frequently Asked Questions on LCM of 768 and 773

1. What is the LCM of 768 and 773?

Answer: LCM of 768 and 773 is 593664.

2. 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.

3. What are the Factors of 773?

Answer: Factors of 773 are 1, 773. There are 2 integers that are factors of 773. The greatest factor of 773 is 773.

4. How to Find the LCM of 768 and 773?

Answer:

Least Common Multiple of 768 and 773 = 593664

Step 1: 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 2: Find the prime factorization of 773

773 = 773

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

LCM = 593664 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 773

Step 4: Therefore, the least common multiple of 768 and 773 is 593664.