Least Common Multiple of 2999 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 2999 and 3005 the smallest integer that is 9011995 that is divisible by both numbers.

Least Common Multiple (LCM) of 2999 and 3005 is 9011995.

LCM(2999,3005) = 9011995

LCM of 2999 and 3005

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

LCM of:
and

Least Common Multiple of 2999 and 3005

LCM of 2999 and 3005 is 9011995

Least common multiple can be found by multiplying the highest exponent prime factors of 2999 and 3005. First we will calculate the prime factors of 2999 and 3005.

Prime Factorization of 2999


2999 2999
1

Prime factors of 2999 are 2999. Prime factorization of 2999 in exponential form is:

2999 = 29991

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 2999 and 3005.

LCM(2999,3005) = 51×6011×29991
LCM(2999,3005) = 9011995

Factors of 2999

List of positive integer factors of 2999 that divides 2999 without a remainder.

1, 2999

Factors of 3005

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

1, 5, 601, 3005

Least Common Multiple of 2999 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 2999 and 3005, than apply into the LCM equation.

GCF(2999,3005) = 1
LCM(2999,3005) = ( 2999 × 3005) / 1
LCM(2999,3005) = 9011995 / 1
LCM(2999,3005) = 9011995

Properties of LCM 2999 and 3005

(i) The LCM of 3005 and 2999 is associative

LCM of 2999 and 3005 = LCM of 3005 and 2999

Related Least Common Multiples of 2999

Related Least Common Multiples of 3005

Frequently Asked Questions on LCM of 2999 and 3005

1. What is the LCM of 2999 and 3005?

Answer: LCM of 2999 and 3005 is 9011995.

2. What are the Factors of 2999?

Answer: Factors of 2999 are 1, 2999. There are 2 integers that are factors of 2999. The greatest factor of 2999 is 2999.

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 2999 and 3005?

Answer:

Least Common Multiple of 2999 and 3005 = 9011995

Step 1: Find the prime factorization of 2999

2999 = 2999

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 = 9011995 = 5 x 601 x 2999

Step 4: Therefore, the least common multiple of 2999 and 3005 is 9011995.