Least Common Multiple of 3015 and 3021

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3015 and 3021 the smallest integer that is 3036105 that is divisible by both numbers.

Least Common Multiple (LCM) of 3015 and 3021 is 3036105.

LCM(3015,3021) = 3036105

LCM of 3015 and 3021

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

LCM of:
and

Least Common Multiple of 3015 and 3021

LCM of 3015 and 3021 is 3036105

Least common multiple can be found by multiplying the highest exponent prime factors of 3015 and 3021. First we will calculate the prime factors of 3015 and 3021.

Prime Factorization of 3015


3 3015
3 1005
5 335
67 67
1

Prime factors of 3015 are 3, 5,67. Prime factorization of 3015 in exponential form is:

3015 = 32×51×671

Prime Factorization of 3021


3 3021
19 1007
53 53
1

Prime factors of 3021 are 3, 19,53. Prime factorization of 3021 in exponential form is:

3021 = 31×191×531

Now multiplying the highest exponent prime factors to calculate the LCM of 3015 and 3021.

LCM(3015,3021) = 32×51×191×531×671
LCM(3015,3021) = 3036105

Factors of 3015

List of positive integer factors of 3015 that divides 3015 without a remainder.

1, 3, 5, 9, 15, 45, 67, 201, 335, 603, 1005, 3015

Factors of 3021

List of positive integer factors of 3021 that divides 3021 without a remainder.

1, 3, 19, 53, 57, 159, 1007, 3021

Least Common Multiple of 3015 and 3021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3015 and 3021, than apply into the LCM equation.

GCF(3015,3021) = 3
LCM(3015,3021) = ( 3015 × 3021) / 3
LCM(3015,3021) = 9108315 / 3
LCM(3015,3021) = 3036105

Properties of LCM 3015 and 3021

(i) The LCM of 3021 and 3015 is associative

LCM of 3015 and 3021 = LCM of 3021 and 3015

Related Least Common Multiples of 3015

Related Least Common Multiples of 3021

Frequently Asked Questions on LCM of 3015 and 3021

1. What is the LCM of 3015 and 3021?

Answer: LCM of 3015 and 3021 is 3036105.

2. What are the Factors of 3015?

Answer: Factors of 3015 are 1, 3, 5, 9, 15, 45, 67, 201, 335, 603, 1005, 3015. There are 12 integers that are factors of 3015. The greatest factor of 3015 is 3015.

3. What are the Factors of 3021?

Answer: Factors of 3021 are 1, 3, 19, 53, 57, 159, 1007, 3021. There are 8 integers that are factors of 3021. The greatest factor of 3021 is 3021.

4. How to Find the LCM of 3015 and 3021?

Answer:

Least Common Multiple of 3015 and 3021 = 3036105

Step 1: Find the prime factorization of 3015

3015 = 3 x 3 x 5 x 67

Step 2: Find the prime factorization of 3021

3021 = 3 x 19 x 53

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

LCM = 3036105 = 3 x 3 x 5 x 19 x 53 x 67

Step 4: Therefore, the least common multiple of 3015 and 3021 is 3036105.