Least Common Multiple of 3027 and 3034

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 3034 the smallest integer that is 9183918 that is divisible by both numbers.

Least Common Multiple (LCM) of 3027 and 3034 is 9183918.

LCM(3027,3034) = 9183918

LCM of 3027 and 3034

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

LCM of:
and

Least Common Multiple of 3027 and 3034

LCM of 3027 and 3034 is 9183918

Least common multiple can be found by multiplying the highest exponent prime factors of 3027 and 3034. First we will calculate the prime factors of 3027 and 3034.

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 3034


2 3034
37 1517
41 41
1

Prime factors of 3034 are 2, 37,41. Prime factorization of 3034 in exponential form is:

3034 = 21×371×411

Now multiplying the highest exponent prime factors to calculate the LCM of 3027 and 3034.

LCM(3027,3034) = 21×31×371×411×10091
LCM(3027,3034) = 9183918

Factors of 3027

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

1, 3, 1009, 3027

Factors of 3034

List of positive integer factors of 3034 that divides 3034 without a remainder.

1, 2, 37, 41, 74, 82, 1517, 3034

Least Common Multiple of 3027 and 3034 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 3034, than apply into the LCM equation.

GCF(3027,3034) = 1
LCM(3027,3034) = ( 3027 × 3034) / 1
LCM(3027,3034) = 9183918 / 1
LCM(3027,3034) = 9183918

Properties of LCM 3027 and 3034

(i) The LCM of 3034 and 3027 is associative

LCM of 3027 and 3034 = LCM of 3034 and 3027

Related Least Common Multiples of 3027

Related Least Common Multiples of 3034

Frequently Asked Questions on LCM of 3027 and 3034

1. What is the LCM of 3027 and 3034?

Answer: LCM of 3027 and 3034 is 9183918.

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 3034?

Answer: Factors of 3034 are 1, 2, 37, 41, 74, 82, 1517, 3034. There are 8 integers that are factors of 3034. The greatest factor of 3034 is 3034.

4. How to Find the LCM of 3027 and 3034?

Answer:

Least Common Multiple of 3027 and 3034 = 9183918

Step 1: Find the prime factorization of 3027

3027 = 3 x 1009

Step 2: Find the prime factorization of 3034

3034 = 2 x 37 x 41

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

LCM = 9183918 = 2 x 3 x 37 x 41 x 1009

Step 4: Therefore, the least common multiple of 3027 and 3034 is 9183918.