Least Common Multiple of 3078 and 3084

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3078 and 3084 the smallest integer that is 1582092 that is divisible by both numbers.

Least Common Multiple (LCM) of 3078 and 3084 is 1582092.

LCM(3078,3084) = 1582092

LCM of 3078 and 3084

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

LCM of:
and

Least Common Multiple of 3078 and 3084

LCM of 3078 and 3084 is 1582092

Least common multiple can be found by multiplying the highest exponent prime factors of 3078 and 3084. First we will calculate the prime factors of 3078 and 3084.

Prime Factorization of 3078


2 3078
3 1539
3 513
3 171
3 57
19 19
1

Prime factors of 3078 are 2, 3,19. Prime factorization of 3078 in exponential form is:

3078 = 21×34×191

Prime Factorization of 3084


2 3084
2 1542
3 771
257 257
1

Prime factors of 3084 are 2, 3,257. Prime factorization of 3084 in exponential form is:

3084 = 22×31×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 3078 and 3084.

LCM(3078,3084) = 22×34×191×2571
LCM(3078,3084) = 1582092

Factors of 3078

List of positive integer factors of 3078 that divides 3078 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 81, 114, 162, 171, 342, 513, 1026, 1539, 3078

Factors of 3084

List of positive integer factors of 3084 that divides 3084 without a remainder.

1, 2, 3, 4, 6, 12, 257, 514, 771, 1028, 1542, 3084

Least Common Multiple of 3078 and 3084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3078 and 3084, than apply into the LCM equation.

GCF(3078,3084) = 6
LCM(3078,3084) = ( 3078 × 3084) / 6
LCM(3078,3084) = 9492552 / 6
LCM(3078,3084) = 1582092

Properties of LCM 3078 and 3084

(i) The LCM of 3084 and 3078 is associative

LCM of 3078 and 3084 = LCM of 3084 and 3078

Related Least Common Multiples of 3078

Related Least Common Multiples of 3084

Frequently Asked Questions on LCM of 3078 and 3084

1. What is the LCM of 3078 and 3084?

Answer: LCM of 3078 and 3084 is 1582092.

2. What are the Factors of 3078?

Answer: Factors of 3078 are 1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 81, 114, 162, 171, 342, 513, 1026, 1539, 3078. There are 20 integers that are factors of 3078. The greatest factor of 3078 is 3078.

3. What are the Factors of 3084?

Answer: Factors of 3084 are 1, 2, 3, 4, 6, 12, 257, 514, 771, 1028, 1542, 3084. There are 12 integers that are factors of 3084. The greatest factor of 3084 is 3084.

4. How to Find the LCM of 3078 and 3084?

Answer:

Least Common Multiple of 3078 and 3084 = 1582092

Step 1: Find the prime factorization of 3078

3078 = 2 x 3 x 3 x 3 x 3 x 19

Step 2: Find the prime factorization of 3084

3084 = 2 x 2 x 3 x 257

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

LCM = 1582092 = 2 x 2 x 3 x 3 x 3 x 3 x 19 x 257

Step 4: Therefore, the least common multiple of 3078 and 3084 is 1582092.