Least Common Multiple of 3002 and 3005

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3002 and 3005 the smallest integer that is 9021010 that is divisible by both numbers.

Least Common Multiple (LCM) of 3002 and 3005 is 9021010.

LCM(3002,3005) = 9021010

LCM of 3002 and 3005

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

LCM of:
and

Least Common Multiple of 3002 and 3005

LCM of 3002 and 3005 is 9021010

Least common multiple can be found by multiplying the highest exponent prime factors of 3002 and 3005. First we will calculate the prime factors of 3002 and 3005.

Prime Factorization of 3002


2 3002
19 1501
79 79
1

Prime factors of 3002 are 2, 19,79. Prime factorization of 3002 in exponential form is:

3002 = 21×191×791

Prime Factorization of 3005


5 3005
601 601
1

Prime factors of 3005 are 5,601. Prime factorization of 3005 in exponential form is:

3005 = 51×6011

Now multiplying the highest exponent prime factors to calculate the LCM of 3002 and 3005.

LCM(3002,3005) = 21×51×191×791×6011
LCM(3002,3005) = 9021010

Factors of 3002

List of positive integer factors of 3002 that divides 3002 without a remainder.

1, 2, 19, 38, 79, 158, 1501, 3002

Factors of 3005

List of positive integer factors of 3005 that divides 3005 without a remainder.

1, 5, 601, 3005

Least Common Multiple of 3002 and 3005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3002 and 3005, than apply into the LCM equation.

GCF(3002,3005) = 1
LCM(3002,3005) = ( 3002 × 3005) / 1
LCM(3002,3005) = 9021010 / 1
LCM(3002,3005) = 9021010

Properties of LCM 3002 and 3005

(i) The LCM of 3005 and 3002 is associative

LCM of 3002 and 3005 = LCM of 3005 and 3002

Related Least Common Multiples of 3002

Related Least Common Multiples of 3005

Frequently Asked Questions on LCM of 3002 and 3005

1. What is the LCM of 3002 and 3005?

Answer: LCM of 3002 and 3005 is 9021010.

2. What are the Factors of 3002?

Answer: Factors of 3002 are 1, 2, 19, 38, 79, 158, 1501, 3002. There are 8 integers that are factors of 3002. The greatest factor of 3002 is 3002.

3. What are the Factors of 3005?

Answer: Factors of 3005 are 1, 5, 601, 3005. There are 4 integers that are factors of 3005. The greatest factor of 3005 is 3005.

4. How to Find the LCM of 3002 and 3005?

Answer:

Least Common Multiple of 3002 and 3005 = 9021010

Step 1: Find the prime factorization of 3002

3002 = 2 x 19 x 79

Step 2: Find the prime factorization of 3005

3005 = 5 x 601

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

LCM = 9021010 = 2 x 5 x 19 x 79 x 601

Step 4: Therefore, the least common multiple of 3002 and 3005 is 9021010.