Least Common Multiple of 768 and 769

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 769 the smallest integer that is 590592 that is divisible by both numbers.

Least Common Multiple (LCM) of 768 and 769 is 590592.

LCM(768,769) = 590592

LCM of 768 and 769

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

LCM of:
and

Least Common Multiple of 768 and 769

LCM of 768 and 769 is 590592

Least common multiple can be found by multiplying the highest exponent prime factors of 768 and 769. First we will calculate the prime factors of 768 and 769.

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 769


769 769
1

Prime factors of 769 are 769. Prime factorization of 769 in exponential form is:

769 = 7691

Now multiplying the highest exponent prime factors to calculate the LCM of 768 and 769.

LCM(768,769) = 28×31×7691
LCM(768,769) = 590592

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 769

List of positive integer factors of 769 that divides 769 without a remainder.

1, 769

Least Common Multiple of 768 and 769 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 769, than apply into the LCM equation.

GCF(768,769) = 1
LCM(768,769) = ( 768 × 769) / 1
LCM(768,769) = 590592 / 1
LCM(768,769) = 590592

Properties of LCM 768 and 769

(i) The LCM of 769 and 768 is associative

LCM of 768 and 769 = LCM of 769 and 768

Related Least Common Multiples of 768

Related Least Common Multiples of 769

Frequently Asked Questions on LCM of 768 and 769

1. What is the LCM of 768 and 769?

Answer: LCM of 768 and 769 is 590592.

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 769?

Answer: Factors of 769 are 1, 769. There are 2 integers that are factors of 769. The greatest factor of 769 is 769.

4. How to Find the LCM of 768 and 769?

Answer:

Least Common Multiple of 768 and 769 = 590592

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 769

769 = 769

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

LCM = 590592 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 769

Step 4: Therefore, the least common multiple of 768 and 769 is 590592.