Least Common Multiple of 768 and 775

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 775 the smallest integer that is 595200 that is divisible by both numbers.

Least Common Multiple (LCM) of 768 and 775 is 595200.

LCM(768,775) = 595200

LCM of 768 and 775

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

LCM of:
and

Least Common Multiple of 768 and 775

LCM of 768 and 775 is 595200

Least common multiple can be found by multiplying the highest exponent prime factors of 768 and 775. First we will calculate the prime factors of 768 and 775.

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 775


5 775
5 155
31 31
1

Prime factors of 775 are 5,31. Prime factorization of 775 in exponential form is:

775 = 52×311

Now multiplying the highest exponent prime factors to calculate the LCM of 768 and 775.

LCM(768,775) = 28×31×52×311
LCM(768,775) = 595200

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 775

List of positive integer factors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Least Common Multiple of 768 and 775 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 775, than apply into the LCM equation.

GCF(768,775) = 1
LCM(768,775) = ( 768 × 775) / 1
LCM(768,775) = 595200 / 1
LCM(768,775) = 595200

Properties of LCM 768 and 775

(i) The LCM of 775 and 768 is associative

LCM of 768 and 775 = LCM of 775 and 768

Related Least Common Multiples of 768

Related Least Common Multiples of 775

Frequently Asked Questions on LCM of 768 and 775

1. What is the LCM of 768 and 775?

Answer: LCM of 768 and 775 is 595200.

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 775?

Answer: Factors of 775 are 1, 5, 25, 31, 155, 775. There are 6 integers that are factors of 775. The greatest factor of 775 is 775.

4. How to Find the LCM of 768 and 775?

Answer:

Least Common Multiple of 768 and 775 = 595200

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 775

775 = 5 x 5 x 31

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

LCM = 595200 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 31

Step 4: Therefore, the least common multiple of 768 and 775 is 595200.