Least Common Multiple of 3072 and 3077

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3072 and 3077 the smallest integer that is 9452544 that is divisible by both numbers.

Least Common Multiple (LCM) of 3072 and 3077 is 9452544.

LCM(3072,3077) = 9452544

LCM of 3072 and 3077

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

LCM of:
and

Least Common Multiple of 3072 and 3077

LCM of 3072 and 3077 is 9452544

Least common multiple can be found by multiplying the highest exponent prime factors of 3072 and 3077. First we will calculate the prime factors of 3072 and 3077.

Prime Factorization of 3072


2 3072
2 1536
2 768
2 384
2 192
2 96
2 48
2 24
2 12
2 6
3 3
1

Prime factors of 3072 are 2,3. Prime factorization of 3072 in exponential form is:

3072 = 210×31

Prime Factorization of 3077


17 3077
181 181
1

Prime factors of 3077 are 17,181. Prime factorization of 3077 in exponential form is:

3077 = 171×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 3072 and 3077.

LCM(3072,3077) = 210×31×171×1811
LCM(3072,3077) = 9452544

Factors of 3072

List of positive integer factors of 3072 that divides 3072 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536, 3072

Factors of 3077

List of positive integer factors of 3077 that divides 3077 without a remainder.

1, 17, 181, 3077

Least Common Multiple of 3072 and 3077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3072 and 3077, than apply into the LCM equation.

GCF(3072,3077) = 1
LCM(3072,3077) = ( 3072 × 3077) / 1
LCM(3072,3077) = 9452544 / 1
LCM(3072,3077) = 9452544

Properties of LCM 3072 and 3077

(i) The LCM of 3077 and 3072 is associative

LCM of 3072 and 3077 = LCM of 3077 and 3072

Related Least Common Multiples of 3072

Related Least Common Multiples of 3077

Frequently Asked Questions on LCM of 3072 and 3077

1. What is the LCM of 3072 and 3077?

Answer: LCM of 3072 and 3077 is 9452544.

2. What are the Factors of 3072?

Answer: Factors of 3072 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536, 3072. There are 22 integers that are factors of 3072. The greatest factor of 3072 is 3072.

3. What are the Factors of 3077?

Answer: Factors of 3077 are 1, 17, 181, 3077. There are 4 integers that are factors of 3077. The greatest factor of 3077 is 3077.

4. How to Find the LCM of 3072 and 3077?

Answer:

Least Common Multiple of 3072 and 3077 = 9452544

Step 1: Find the prime factorization of 3072

3072 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Step 2: Find the prime factorization of 3077

3077 = 17 x 181

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

LCM = 9452544 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17 x 181

Step 4: Therefore, the least common multiple of 3072 and 3077 is 9452544.