Least Common Multiple of 3072 and 3080

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 3080 the smallest integer that is 1182720 that is divisible by both numbers.

Least Common Multiple (LCM) of 3072 and 3080 is 1182720.

LCM(3072,3080) = 1182720

LCM of 3072 and 3080

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

LCM of:
and

Least Common Multiple of 3072 and 3080

LCM of 3072 and 3080 is 1182720

Least common multiple can be found by multiplying the highest exponent prime factors of 3072 and 3080. First we will calculate the prime factors of 3072 and 3080.

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 3080


2 3080
2 1540
2 770
5 385
7 77
11 11
1

Prime factors of 3080 are 2, 5, 7,11. Prime factorization of 3080 in exponential form is:

3080 = 23×51×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 3072 and 3080.

LCM(3072,3080) = 210×31×51×71×111
LCM(3072,3080) = 1182720

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 3080

List of positive integer factors of 3080 that divides 3080 without a remainder.

1, 2, 4, 5, 7, 8, 10, 11, 14, 20, 22, 28, 35, 40, 44, 55, 56, 70, 77, 88, 110, 140, 154, 220, 280, 308, 385, 440, 616, 770, 1540, 3080

Least Common Multiple of 3072 and 3080 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 3080, than apply into the LCM equation.

GCF(3072,3080) = 8
LCM(3072,3080) = ( 3072 × 3080) / 8
LCM(3072,3080) = 9461760 / 8
LCM(3072,3080) = 1182720

Properties of LCM 3072 and 3080

(i) The LCM of 3080 and 3072 is associative

LCM of 3072 and 3080 = LCM of 3080 and 3072

Related Least Common Multiples of 3072

Related Least Common Multiples of 3080

Frequently Asked Questions on LCM of 3072 and 3080

1. What is the LCM of 3072 and 3080?

Answer: LCM of 3072 and 3080 is 1182720.

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 3080?

Answer: Factors of 3080 are 1, 2, 4, 5, 7, 8, 10, 11, 14, 20, 22, 28, 35, 40, 44, 55, 56, 70, 77, 88, 110, 140, 154, 220, 280, 308, 385, 440, 616, 770, 1540, 3080. There are 32 integers that are factors of 3080. The greatest factor of 3080 is 3080.

4. How to Find the LCM of 3072 and 3080?

Answer:

Least Common Multiple of 3072 and 3080 = 1182720

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 3080

3080 = 2 x 2 x 2 x 5 x 7 x 11

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

LCM = 1182720 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11

Step 4: Therefore, the least common multiple of 3072 and 3080 is 1182720.