Least Common Multiple of 3074 and 3078

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3074 and 3078 the smallest integer that is 4730886 that is divisible by both numbers.

Least Common Multiple (LCM) of 3074 and 3078 is 4730886.

LCM(3074,3078) = 4730886

LCM of 3074 and 3078

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

LCM of:
and

Least Common Multiple of 3074 and 3078

LCM of 3074 and 3078 is 4730886

Least common multiple can be found by multiplying the highest exponent prime factors of 3074 and 3078. First we will calculate the prime factors of 3074 and 3078.

Prime Factorization of 3074


2 3074
29 1537
53 53
1

Prime factors of 3074 are 2, 29,53. Prime factorization of 3074 in exponential form is:

3074 = 21×291×531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3074 and 3078.

LCM(3074,3078) = 21×34×191×291×531
LCM(3074,3078) = 4730886

Factors of 3074

List of positive integer factors of 3074 that divides 3074 without a remainder.

1, 2, 29, 53, 58, 106, 1537, 3074

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

Least Common Multiple of 3074 and 3078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3074 and 3078, than apply into the LCM equation.

GCF(3074,3078) = 2
LCM(3074,3078) = ( 3074 × 3078) / 2
LCM(3074,3078) = 9461772 / 2
LCM(3074,3078) = 4730886

Properties of LCM 3074 and 3078

(i) The LCM of 3078 and 3074 is associative

LCM of 3074 and 3078 = LCM of 3078 and 3074

Related Least Common Multiples of 3074

Related Least Common Multiples of 3078

Frequently Asked Questions on LCM of 3074 and 3078

1. What is the LCM of 3074 and 3078?

Answer: LCM of 3074 and 3078 is 4730886.

2. What are the Factors of 3074?

Answer: Factors of 3074 are 1, 2, 29, 53, 58, 106, 1537, 3074. There are 8 integers that are factors of 3074. The greatest factor of 3074 is 3074.

3. 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.

4. How to Find the LCM of 3074 and 3078?

Answer:

Least Common Multiple of 3074 and 3078 = 4730886

Step 1: Find the prime factorization of 3074

3074 = 2 x 29 x 53

Step 2: Find the prime factorization of 3078

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

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

LCM = 4730886 = 2 x 3 x 3 x 3 x 3 x 19 x 29 x 53

Step 4: Therefore, the least common multiple of 3074 and 3078 is 4730886.