Least Common Multiple of 2991 and 2996

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 2996 the smallest integer that is 8961036 that is divisible by both numbers.

Least Common Multiple (LCM) of 2991 and 2996 is 8961036.

LCM(2991,2996) = 8961036

LCM of 2991 and 2996

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

LCM of:
and

Least Common Multiple of 2991 and 2996

LCM of 2991 and 2996 is 8961036

Least common multiple can be found by multiplying the highest exponent prime factors of 2991 and 2996. First we will calculate the prime factors of 2991 and 2996.

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 2996


2 2996
2 1498
7 749
107 107
1

Prime factors of 2996 are 2, 7,107. Prime factorization of 2996 in exponential form is:

2996 = 22×71×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 2991 and 2996.

LCM(2991,2996) = 22×31×71×1071×9971
LCM(2991,2996) = 8961036

Factors of 2991

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

1, 3, 997, 2991

Factors of 2996

List of positive integer factors of 2996 that divides 2996 without a remainder.

1, 2, 4, 7, 14, 28, 107, 214, 428, 749, 1498, 2996

Least Common Multiple of 2991 and 2996 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 2996, than apply into the LCM equation.

GCF(2991,2996) = 1
LCM(2991,2996) = ( 2991 × 2996) / 1
LCM(2991,2996) = 8961036 / 1
LCM(2991,2996) = 8961036

Properties of LCM 2991 and 2996

(i) The LCM of 2996 and 2991 is associative

LCM of 2991 and 2996 = LCM of 2996 and 2991

Related Least Common Multiples of 2991

Related Least Common Multiples of 2996

Frequently Asked Questions on LCM of 2991 and 2996

1. What is the LCM of 2991 and 2996?

Answer: LCM of 2991 and 2996 is 8961036.

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 2996?

Answer: Factors of 2996 are 1, 2, 4, 7, 14, 28, 107, 214, 428, 749, 1498, 2996. There are 12 integers that are factors of 2996. The greatest factor of 2996 is 2996.

4. How to Find the LCM of 2991 and 2996?

Answer:

Least Common Multiple of 2991 and 2996 = 8961036

Step 1: Find the prime factorization of 2991

2991 = 3 x 997

Step 2: Find the prime factorization of 2996

2996 = 2 x 2 x 7 x 107

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

LCM = 8961036 = 2 x 2 x 3 x 7 x 107 x 997

Step 4: Therefore, the least common multiple of 2991 and 2996 is 8961036.