Least Common Multiple of 3066 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 3066 and 3072 the smallest integer that is 1569792 that is divisible by both numbers.

Least Common Multiple (LCM) of 3066 and 3072 is 1569792.

LCM(3066,3072) = 1569792

LCM of 3066 and 3072

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

LCM of:
and

Least Common Multiple of 3066 and 3072

LCM of 3066 and 3072 is 1569792

Least common multiple can be found by multiplying the highest exponent prime factors of 3066 and 3072. First we will calculate the prime factors of 3066 and 3072.

Prime Factorization of 3066


2 3066
3 1533
7 511
73 73
1

Prime factors of 3066 are 2, 3, 7,73. Prime factorization of 3066 in exponential form is:

3066 = 21×31×71×731

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 3066 and 3072.

LCM(3066,3072) = 210×31×71×731
LCM(3066,3072) = 1569792

Factors of 3066

List of positive integer factors of 3066 that divides 3066 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 73, 146, 219, 438, 511, 1022, 1533, 3066

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 3066 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 3066 and 3072, than apply into the LCM equation.

GCF(3066,3072) = 6
LCM(3066,3072) = ( 3066 × 3072) / 6
LCM(3066,3072) = 9418752 / 6
LCM(3066,3072) = 1569792

Properties of LCM 3066 and 3072

(i) The LCM of 3072 and 3066 is associative

LCM of 3066 and 3072 = LCM of 3072 and 3066

Related Least Common Multiples of 3066

Related Least Common Multiples of 3072

Frequently Asked Questions on LCM of 3066 and 3072

1. What is the LCM of 3066 and 3072?

Answer: LCM of 3066 and 3072 is 1569792.

2. What are the Factors of 3066?

Answer: Factors of 3066 are 1, 2, 3, 6, 7, 14, 21, 42, 73, 146, 219, 438, 511, 1022, 1533, 3066. There are 16 integers that are factors of 3066. The greatest factor of 3066 is 3066.

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 3066 and 3072?

Answer:

Least Common Multiple of 3066 and 3072 = 1569792

Step 1: Find the prime factorization of 3066

3066 = 2 x 3 x 7 x 73

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 = 1569792 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 73

Step 4: Therefore, the least common multiple of 3066 and 3072 is 1569792.