Least Common Multiple of 2987 and 2991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2987 and 2991 the smallest integer that is 8934117 that is divisible by both numbers.

Least Common Multiple (LCM) of 2987 and 2991 is 8934117.

LCM(2987,2991) = 8934117

LCM of 2987 and 2991

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

LCM of:
and

Least Common Multiple of 2987 and 2991

LCM of 2987 and 2991 is 8934117

Least common multiple can be found by multiplying the highest exponent prime factors of 2987 and 2991. First we will calculate the prime factors of 2987 and 2991.

Prime Factorization of 2987


29 2987
103 103
1

Prime factors of 2987 are 29,103. Prime factorization of 2987 in exponential form is:

2987 = 291×1031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2987 and 2991.

LCM(2987,2991) = 31×291×1031×9971
LCM(2987,2991) = 8934117

Factors of 2987

List of positive integer factors of 2987 that divides 2987 without a remainder.

1, 29, 103, 2987

Factors of 2991

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

1, 3, 997, 2991

Least Common Multiple of 2987 and 2991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2987 and 2991, than apply into the LCM equation.

GCF(2987,2991) = 1
LCM(2987,2991) = ( 2987 × 2991) / 1
LCM(2987,2991) = 8934117 / 1
LCM(2987,2991) = 8934117

Properties of LCM 2987 and 2991

(i) The LCM of 2991 and 2987 is associative

LCM of 2987 and 2991 = LCM of 2991 and 2987

Related Least Common Multiples of 2987

Related Least Common Multiples of 2991

Frequently Asked Questions on LCM of 2987 and 2991

1. What is the LCM of 2987 and 2991?

Answer: LCM of 2987 and 2991 is 8934117.

2. What are the Factors of 2987?

Answer: Factors of 2987 are 1, 29, 103, 2987. There are 4 integers that are factors of 2987. The greatest factor of 2987 is 2987.

3. 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.

4. How to Find the LCM of 2987 and 2991?

Answer:

Least Common Multiple of 2987 and 2991 = 8934117

Step 1: Find the prime factorization of 2987

2987 = 29 x 103

Step 2: Find the prime factorization of 2991

2991 = 3 x 997

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

LCM = 8934117 = 3 x 29 x 103 x 997

Step 4: Therefore, the least common multiple of 2987 and 2991 is 8934117.