Least Common Multiple of 3078 and 3085

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 3085 the smallest integer that is 9495630 that is divisible by both numbers.

Least Common Multiple (LCM) of 3078 and 3085 is 9495630.

LCM(3078,3085) = 9495630

LCM of 3078 and 3085

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

LCM of:
and

Least Common Multiple of 3078 and 3085

LCM of 3078 and 3085 is 9495630

Least common multiple can be found by multiplying the highest exponent prime factors of 3078 and 3085. First we will calculate the prime factors of 3078 and 3085.

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 3085


5 3085
617 617
1

Prime factors of 3085 are 5,617. Prime factorization of 3085 in exponential form is:

3085 = 51×6171

Now multiplying the highest exponent prime factors to calculate the LCM of 3078 and 3085.

LCM(3078,3085) = 21×34×51×191×6171
LCM(3078,3085) = 9495630

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 3085

List of positive integer factors of 3085 that divides 3085 without a remainder.

1, 5, 617, 3085

Least Common Multiple of 3078 and 3085 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 3085, than apply into the LCM equation.

GCF(3078,3085) = 1
LCM(3078,3085) = ( 3078 × 3085) / 1
LCM(3078,3085) = 9495630 / 1
LCM(3078,3085) = 9495630

Properties of LCM 3078 and 3085

(i) The LCM of 3085 and 3078 is associative

LCM of 3078 and 3085 = LCM of 3085 and 3078

Related Least Common Multiples of 3078

Related Least Common Multiples of 3085

Frequently Asked Questions on LCM of 3078 and 3085

1. What is the LCM of 3078 and 3085?

Answer: LCM of 3078 and 3085 is 9495630.

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 3085?

Answer: Factors of 3085 are 1, 5, 617, 3085. There are 4 integers that are factors of 3085. The greatest factor of 3085 is 3085.

4. How to Find the LCM of 3078 and 3085?

Answer:

Least Common Multiple of 3078 and 3085 = 9495630

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 3085

3085 = 5 x 617

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

LCM = 9495630 = 2 x 3 x 3 x 3 x 3 x 5 x 19 x 617

Step 4: Therefore, the least common multiple of 3078 and 3085 is 9495630.