Least Common Multiple of 2991 and 2997

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 2997 the smallest integer that is 2988009 that is divisible by both numbers.

Least Common Multiple (LCM) of 2991 and 2997 is 2988009.

LCM(2991,2997) = 2988009

LCM of 2991 and 2997

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

LCM of:
and

Least Common Multiple of 2991 and 2997

LCM of 2991 and 2997 is 2988009

Least common multiple can be found by multiplying the highest exponent prime factors of 2991 and 2997. First we will calculate the prime factors of 2991 and 2997.

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 2997


3 2997
3 999
3 333
3 111
37 37
1

Prime factors of 2997 are 3,37. Prime factorization of 2997 in exponential form is:

2997 = 34×371

Now multiplying the highest exponent prime factors to calculate the LCM of 2991 and 2997.

LCM(2991,2997) = 34×371×9971
LCM(2991,2997) = 2988009

Factors of 2991

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

1, 3, 997, 2991

Factors of 2997

List of positive integer factors of 2997 that divides 2997 without a remainder.

1, 3, 9, 27, 37, 81, 111, 333, 999, 2997

Least Common Multiple of 2991 and 2997 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 2997, than apply into the LCM equation.

GCF(2991,2997) = 3
LCM(2991,2997) = ( 2991 × 2997) / 3
LCM(2991,2997) = 8964027 / 3
LCM(2991,2997) = 2988009

Properties of LCM 2991 and 2997

(i) The LCM of 2997 and 2991 is associative

LCM of 2991 and 2997 = LCM of 2997 and 2991

Related Least Common Multiples of 2991

Related Least Common Multiples of 2997

Frequently Asked Questions on LCM of 2991 and 2997

1. What is the LCM of 2991 and 2997?

Answer: LCM of 2991 and 2997 is 2988009.

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 2997?

Answer: Factors of 2997 are 1, 3, 9, 27, 37, 81, 111, 333, 999, 2997. There are 10 integers that are factors of 2997. The greatest factor of 2997 is 2997.

4. How to Find the LCM of 2991 and 2997?

Answer:

Least Common Multiple of 2991 and 2997 = 2988009

Step 1: Find the prime factorization of 2991

2991 = 3 x 997

Step 2: Find the prime factorization of 2997

2997 = 3 x 3 x 3 x 3 x 37

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

LCM = 2988009 = 3 x 3 x 3 x 3 x 37 x 997

Step 4: Therefore, the least common multiple of 2991 and 2997 is 2988009.