Least Common Multiple of 3081 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 3081 and 3085 the smallest integer that is 9504885 that is divisible by both numbers.

Least Common Multiple (LCM) of 3081 and 3085 is 9504885.

LCM(3081,3085) = 9504885

LCM of 3081 and 3085

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

LCM of:
and

Least Common Multiple of 3081 and 3085

LCM of 3081 and 3085 is 9504885

Least common multiple can be found by multiplying the highest exponent prime factors of 3081 and 3085. First we will calculate the prime factors of 3081 and 3085.

Prime Factorization of 3081


3 3081
13 1027
79 79
1

Prime factors of 3081 are 3, 13,79. Prime factorization of 3081 in exponential form is:

3081 = 31×131×791

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 3081 and 3085.

LCM(3081,3085) = 31×51×131×791×6171
LCM(3081,3085) = 9504885

Factors of 3081

List of positive integer factors of 3081 that divides 3081 without a remainder.

1, 3, 13, 39, 79, 237, 1027, 3081

Factors of 3085

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

1, 5, 617, 3085

Least Common Multiple of 3081 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 3081 and 3085, than apply into the LCM equation.

GCF(3081,3085) = 1
LCM(3081,3085) = ( 3081 × 3085) / 1
LCM(3081,3085) = 9504885 / 1
LCM(3081,3085) = 9504885

Properties of LCM 3081 and 3085

(i) The LCM of 3085 and 3081 is associative

LCM of 3081 and 3085 = LCM of 3085 and 3081

Related Least Common Multiples of 3081

Related Least Common Multiples of 3085

Frequently Asked Questions on LCM of 3081 and 3085

1. What is the LCM of 3081 and 3085?

Answer: LCM of 3081 and 3085 is 9504885.

2. What are the Factors of 3081?

Answer: Factors of 3081 are 1, 3, 13, 39, 79, 237, 1027, 3081. There are 8 integers that are factors of 3081. The greatest factor of 3081 is 3081.

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 3081 and 3085?

Answer:

Least Common Multiple of 3081 and 3085 = 9504885

Step 1: Find the prime factorization of 3081

3081 = 3 x 13 x 79

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 = 9504885 = 3 x 5 x 13 x 79 x 617

Step 4: Therefore, the least common multiple of 3081 and 3085 is 9504885.