Least Common Multiple of 3027 and 3035

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3027 and 3035 the smallest integer that is 9186945 that is divisible by both numbers.

Least Common Multiple (LCM) of 3027 and 3035 is 9186945.

LCM(3027,3035) = 9186945

LCM of 3027 and 3035

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

LCM of:
and

Least Common Multiple of 3027 and 3035

LCM of 3027 and 3035 is 9186945

Least common multiple can be found by multiplying the highest exponent prime factors of 3027 and 3035. First we will calculate the prime factors of 3027 and 3035.

Prime Factorization of 3027


3 3027
1009 1009
1

Prime factors of 3027 are 3,1009. Prime factorization of 3027 in exponential form is:

3027 = 31×10091

Prime Factorization of 3035


5 3035
607 607
1

Prime factors of 3035 are 5,607. Prime factorization of 3035 in exponential form is:

3035 = 51×6071

Now multiplying the highest exponent prime factors to calculate the LCM of 3027 and 3035.

LCM(3027,3035) = 31×51×6071×10091
LCM(3027,3035) = 9186945

Factors of 3027

List of positive integer factors of 3027 that divides 3027 without a remainder.

1, 3, 1009, 3027

Factors of 3035

List of positive integer factors of 3035 that divides 3035 without a remainder.

1, 5, 607, 3035

Least Common Multiple of 3027 and 3035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3027 and 3035, than apply into the LCM equation.

GCF(3027,3035) = 1
LCM(3027,3035) = ( 3027 × 3035) / 1
LCM(3027,3035) = 9186945 / 1
LCM(3027,3035) = 9186945

Properties of LCM 3027 and 3035

(i) The LCM of 3035 and 3027 is associative

LCM of 3027 and 3035 = LCM of 3035 and 3027

Related Least Common Multiples of 3027

Related Least Common Multiples of 3035

Frequently Asked Questions on LCM of 3027 and 3035

1. What is the LCM of 3027 and 3035?

Answer: LCM of 3027 and 3035 is 9186945.

2. What are the Factors of 3027?

Answer: Factors of 3027 are 1, 3, 1009, 3027. There are 4 integers that are factors of 3027. The greatest factor of 3027 is 3027.

3. What are the Factors of 3035?

Answer: Factors of 3035 are 1, 5, 607, 3035. There are 4 integers that are factors of 3035. The greatest factor of 3035 is 3035.

4. How to Find the LCM of 3027 and 3035?

Answer:

Least Common Multiple of 3027 and 3035 = 9186945

Step 1: Find the prime factorization of 3027

3027 = 3 x 1009

Step 2: Find the prime factorization of 3035

3035 = 5 x 607

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

LCM = 9186945 = 3 x 5 x 607 x 1009

Step 4: Therefore, the least common multiple of 3027 and 3035 is 9186945.