Least Common Multiple of 2991 and 2994

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 2994 the smallest integer that is 2985018 that is divisible by both numbers.

Least Common Multiple (LCM) of 2991 and 2994 is 2985018.

LCM(2991,2994) = 2985018

LCM of 2991 and 2994

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

LCM of:
and

Least Common Multiple of 2991 and 2994

LCM of 2991 and 2994 is 2985018

Least common multiple can be found by multiplying the highest exponent prime factors of 2991 and 2994. First we will calculate the prime factors of 2991 and 2994.

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 2994


2 2994
3 1497
499 499
1

Prime factors of 2994 are 2, 3,499. Prime factorization of 2994 in exponential form is:

2994 = 21×31×4991

Now multiplying the highest exponent prime factors to calculate the LCM of 2991 and 2994.

LCM(2991,2994) = 21×31×4991×9971
LCM(2991,2994) = 2985018

Factors of 2991

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

1, 3, 997, 2991

Factors of 2994

List of positive integer factors of 2994 that divides 2994 without a remainder.

1, 2, 3, 6, 499, 998, 1497, 2994

Least Common Multiple of 2991 and 2994 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 2994, than apply into the LCM equation.

GCF(2991,2994) = 3
LCM(2991,2994) = ( 2991 × 2994) / 3
LCM(2991,2994) = 8955054 / 3
LCM(2991,2994) = 2985018

Properties of LCM 2991 and 2994

(i) The LCM of 2994 and 2991 is associative

LCM of 2991 and 2994 = LCM of 2994 and 2991

Related Least Common Multiples of 2991

Related Least Common Multiples of 2994

Frequently Asked Questions on LCM of 2991 and 2994

1. What is the LCM of 2991 and 2994?

Answer: LCM of 2991 and 2994 is 2985018.

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 2994?

Answer: Factors of 2994 are 1, 2, 3, 6, 499, 998, 1497, 2994. There are 8 integers that are factors of 2994. The greatest factor of 2994 is 2994.

4. How to Find the LCM of 2991 and 2994?

Answer:

Least Common Multiple of 2991 and 2994 = 2985018

Step 1: Find the prime factorization of 2991

2991 = 3 x 997

Step 2: Find the prime factorization of 2994

2994 = 2 x 3 x 499

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

LCM = 2985018 = 2 x 3 x 499 x 997

Step 4: Therefore, the least common multiple of 2991 and 2994 is 2985018.