Least Common Multiple of 2991 and 2999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2991 and 2999 the smallest integer that is 8970009 that is divisible by both numbers.

Least Common Multiple (LCM) of 2991 and 2999 is 8970009.

LCM(2991,2999) = 8970009

LCM of 2991 and 2999

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

LCM of:
and

Least Common Multiple of 2991 and 2999

LCM of 2991 and 2999 is 8970009

Least common multiple can be found by multiplying the highest exponent prime factors of 2991 and 2999. First we will calculate the prime factors of 2991 and 2999.

Prime Factorization of 2991


3 2991
997 997
1

Prime factors of 2991 are 3,997. Prime factorization of 2991 in exponential form is:

2991 = 31×9971

Prime Factorization of 2999


2999 2999
1

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

2999 = 29991

Now multiplying the highest exponent prime factors to calculate the LCM of 2991 and 2999.

LCM(2991,2999) = 31×9971×29991
LCM(2991,2999) = 8970009

Factors of 2991

List of positive integer factors of 2991 that divides 2991 without a remainder.

1, 3, 997, 2991

Factors of 2999

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

1, 2999

Least Common Multiple of 2991 and 2999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2991 and 2999, than apply into the LCM equation.

GCF(2991,2999) = 1
LCM(2991,2999) = ( 2991 × 2999) / 1
LCM(2991,2999) = 8970009 / 1
LCM(2991,2999) = 8970009

Properties of LCM 2991 and 2999

(i) The LCM of 2999 and 2991 is associative

LCM of 2991 and 2999 = LCM of 2999 and 2991

Related Least Common Multiples of 2991

Related Least Common Multiples of 2999

Frequently Asked Questions on LCM of 2991 and 2999

1. What is the LCM of 2991 and 2999?

Answer: LCM of 2991 and 2999 is 8970009.

2. What are the Factors of 2991?

Answer: Factors of 2991 are 1, 3, 997, 2991. There are 4 integers that are factors of 2991. The greatest factor of 2991 is 2991.

3. 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.

4. How to Find the LCM of 2991 and 2999?

Answer:

Least Common Multiple of 2991 and 2999 = 8970009

Step 1: Find the prime factorization of 2991

2991 = 3 x 997

Step 2: Find the prime factorization of 2999

2999 = 2999

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

LCM = 8970009 = 3 x 997 x 2999

Step 4: Therefore, the least common multiple of 2991 and 2999 is 8970009.