Least Common Multiple of 3065 and 3072

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3065 and 3072 the smallest integer that is 9415680 that is divisible by both numbers.

Least Common Multiple (LCM) of 3065 and 3072 is 9415680.

LCM(3065,3072) = 9415680

LCM of 3065 and 3072

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

LCM of:
and

Least Common Multiple of 3065 and 3072

LCM of 3065 and 3072 is 9415680

Least common multiple can be found by multiplying the highest exponent prime factors of 3065 and 3072. First we will calculate the prime factors of 3065 and 3072.

Prime Factorization of 3065


5 3065
613 613
1

Prime factors of 3065 are 5,613. Prime factorization of 3065 in exponential form is:

3065 = 51×6131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3065 and 3072.

LCM(3065,3072) = 210×31×51×6131
LCM(3065,3072) = 9415680

Factors of 3065

List of positive integer factors of 3065 that divides 3065 without a remainder.

1, 5, 613, 3065

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

Least Common Multiple of 3065 and 3072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3065 and 3072, than apply into the LCM equation.

GCF(3065,3072) = 1
LCM(3065,3072) = ( 3065 × 3072) / 1
LCM(3065,3072) = 9415680 / 1
LCM(3065,3072) = 9415680

Properties of LCM 3065 and 3072

(i) The LCM of 3072 and 3065 is associative

LCM of 3065 and 3072 = LCM of 3072 and 3065

Related Least Common Multiples of 3065

Related Least Common Multiples of 3072

Frequently Asked Questions on LCM of 3065 and 3072

1. What is the LCM of 3065 and 3072?

Answer: LCM of 3065 and 3072 is 9415680.

2. What are the Factors of 3065?

Answer: Factors of 3065 are 1, 5, 613, 3065. There are 4 integers that are factors of 3065. The greatest factor of 3065 is 3065.

3. 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.

4. How to Find the LCM of 3065 and 3072?

Answer:

Least Common Multiple of 3065 and 3072 = 9415680

Step 1: Find the prime factorization of 3065

3065 = 5 x 613

Step 2: 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 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 9415680 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 613

Step 4: Therefore, the least common multiple of 3065 and 3072 is 9415680.